What is the Least Common Multiple of 87624 and 87640?

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 87624 and 87640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87624 and 87640, than apply into the LCM equation.

GCF(87624,87640) = 8
LCM(87624,87640) = ( 87624 × 87640) / 8
LCM(87624,87640) = 7679367360 / 8
LCM(87624,87640) = 959920920

Least Common Multiple (LCM) of 87624 and 87640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87624 and 87640. First we will calculate the prime factors of 87624 and 87640.

Prime Factorization of 87624

Prime Factorization of 87640

Now multiplying the highest exponent prime factors to calculate the LCM of 87624 and 87640.

LCM(87624,87640) = 2³ × 3² × 1217¹ × 5¹ × 7¹ × 313¹
LCM(87624,87640) = 959920920