What is the Least Common Multiple of 87638 and 87657?

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 87638 and 87657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87638 and 87657, than apply into the LCM equation.

GCF(87638,87657) = 1
LCM(87638,87657) = ( 87638 × 87657) / 1
LCM(87638,87657) = 7682084166 / 1
LCM(87638,87657) = 7682084166

Least Common Multiple (LCM) of 87638 and 87657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87638 and 87657. First we will calculate the prime factors of 87638 and 87657.

Prime Factorization of 87638

Prime Factorization of 87657

Now multiplying the highest exponent prime factors to calculate the LCM of 87638 and 87657.

LCM(87638,87657) = 2¹ × 29¹ × 1511¹ × 3¹ × 61¹ × 479¹
LCM(87638,87657) = 7682084166