What is the Least Common Multiple of 87525 and 87541?

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 87525 and 87541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87525 and 87541, than apply into the LCM equation.

GCF(87525,87541) = 1
LCM(87525,87541) = ( 87525 × 87541) / 1
LCM(87525,87541) = 7662026025 / 1
LCM(87525,87541) = 7662026025

Least Common Multiple (LCM) of 87525 and 87541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87525 and 87541. First we will calculate the prime factors of 87525 and 87541.

Prime Factorization of 87525

Prime Factorization of 87541

Now multiplying the highest exponent prime factors to calculate the LCM of 87525 and 87541.

LCM(87525,87541) = 3² × 5² × 389¹ × 87541¹
LCM(87525,87541) = 7662026025