What is the Least Common Multiple of 87678 and 87692?

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 87678 and 87692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87678 and 87692, than apply into the LCM equation.

GCF(87678,87692) = 2
LCM(87678,87692) = ( 87678 × 87692) / 2
LCM(87678,87692) = 7688659176 / 2
LCM(87678,87692) = 3844329588

Least Common Multiple (LCM) of 87678 and 87692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87678 and 87692. First we will calculate the prime factors of 87678 and 87692.

Prime Factorization of 87678

Prime Factorization of 87692

Now multiplying the highest exponent prime factors to calculate the LCM of 87678 and 87692.

LCM(87678,87692) = 2² × 3² × 4871¹ × 11¹ × 1993¹
LCM(87678,87692) = 3844329588