What is the Least Common Multiple of 87642 and 87651?

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 87642 and 87651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87642 and 87651, than apply into the LCM equation.

GCF(87642,87651) = 9
LCM(87642,87651) = ( 87642 × 87651) / 9
LCM(87642,87651) = 7681908942 / 9
LCM(87642,87651) = 853545438

Least Common Multiple (LCM) of 87642 and 87651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87642 and 87651. First we will calculate the prime factors of 87642 and 87651.

Prime Factorization of 87642

Prime Factorization of 87651

Now multiplying the highest exponent prime factors to calculate the LCM of 87642 and 87651.

LCM(87642,87651) = 2¹ × 3⁴ × 541¹ × 9739¹
LCM(87642,87651) = 853545438