What is the Least Common Multiple of 87909 and 87924?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 87909 and 87924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87909 and 87924, than apply into the LCM equation.

GCF(87909,87924) = 3
LCM(87909,87924) = ( 87909 × 87924) / 3
LCM(87909,87924) = 7729310916 / 3
LCM(87909,87924) = 2576436972

Least Common Multiple (LCM) of 87909 and 87924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87909 and 87924. First we will calculate the prime factors of 87909 and 87924.

Prime Factorization of 87909

Prime Factorization of 87924

Now multiplying the highest exponent prime factors to calculate the LCM of 87909 and 87924.

LCM(87909,87924) = 3¹ × 29303¹ × 2² × 17¹ × 431¹
LCM(87909,87924) = 2576436972