What is the Least Common Multiple of 87532 and 87537?

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 87532 and 87537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87532 and 87537, than apply into the LCM equation.

GCF(87532,87537) = 1
LCM(87532,87537) = ( 87532 × 87537) / 1
LCM(87532,87537) = 7662288684 / 1
LCM(87532,87537) = 7662288684

Least Common Multiple (LCM) of 87532 and 87537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87532 and 87537. First we will calculate the prime factors of 87532 and 87537.

Prime Factorization of 87532

Prime Factorization of 87537

Now multiplying the highest exponent prime factors to calculate the LCM of 87532 and 87537.

LCM(87532,87537) = 2² × 79¹ × 277¹ × 3¹ × 29179¹
LCM(87532,87537) = 7662288684