What is the least common multiple (LCM)?

The Least Common Multiple (LCM) is also referred to as the Lowest Common Multiple (LCM) and Least Common Denominator (LCD). For two integers a and b, denoted LCM(a,b), the LCM is the smallest integer that is evenly divisible by both a and b. For example, LCM(2,3) = 6 and LCM(6,10) = 30.

How do you find the LCM of a set of numbers?

Prime Factorization Method A more systematic way to find the LCM of some given integers is to use prime factorization. Prime factorization involves breaking down each of the numbers being compared into its product of prime numbers. The LCM is then determined by multiplying the highest power of each prime number together.

How to find lcm by prime factorization using exponents?

How to find LCM by Prime Factorization using Exponents 1 Prime factors of 24 = 2 × 2 × 2 × 3 = 2 3 × 3 1 2 Prime factors of 300 = 2 × 2 × 3 × 5 × 5 = 2 2 × 3 1 × 5 2 3 List all the prime numbers found, as many times as they occur most often for any one given number and multiply them together to find the LCM 2 × 2

How to calculate the LCM of 10 and 12?

The formula of LCM is LCM (a,b) = (a × b) / GCF (a,b). We need to calculate greatest common factor 10 and 12, than apply into the LCM equation. GCF (10,12) = 2 LCM (10,12) = (10 × 12) / 2

What is the difference between LCM and HCF?

The LCM is used to find the least possible common multiples of two or more numbers whereas HCF is a method to find the highest possible common factor among the numbers. But both can be related by the formulas: LCM (a,b) = a × b / GCF (a,b) GCF (a,b) = a × b / LCM (a,b)

How to find LCM of two numbers by division method?

Finding LCM of two numbers by division method is an easy method. Below are the steps to find the LCM by division method: First, write the numbers, separated by commas; Now divide the numbers, with the smallest prime number. If any number is not divisible, then write down that number and proceed further