What is the Least Common Multiple of 87696 and 87712?

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 87696 and 87712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87696 and 87712, than apply into the LCM equation.

GCF(87696,87712) = 16
LCM(87696,87712) = ( 87696 × 87712) / 16
LCM(87696,87712) = 7691991552 / 16
LCM(87696,87712) = 480749472

Least Common Multiple (LCM) of 87696 and 87712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87696 and 87712. First we will calculate the prime factors of 87696 and 87712.

Prime Factorization of 87696

Prime Factorization of 87712

Now multiplying the highest exponent prime factors to calculate the LCM of 87696 and 87712.

LCM(87696,87712) = 2⁵ × 3³ × 7¹ × 29¹ × 2741¹
LCM(87696,87712) = 480749472