What is the Least Common Multiple of 87424 and 87440?

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 87424 and 87440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87424 and 87440, than apply into the LCM equation.

GCF(87424,87440) = 16
LCM(87424,87440) = ( 87424 × 87440) / 16
LCM(87424,87440) = 7644354560 / 16
LCM(87424,87440) = 477772160

Least Common Multiple (LCM) of 87424 and 87440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87424 and 87440. First we will calculate the prime factors of 87424 and 87440.

Prime Factorization of 87424

Prime Factorization of 87440

Now multiplying the highest exponent prime factors to calculate the LCM of 87424 and 87440.

LCM(87424,87440) = 2⁷ × 683¹ × 5¹ × 1093¹
LCM(87424,87440) = 477772160