What is the Least Common Multiple of 87796 and 87812?

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 87796 and 87812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87796 and 87812, than apply into the LCM equation.

GCF(87796,87812) = 4
LCM(87796,87812) = ( 87796 × 87812) / 4
LCM(87796,87812) = 7709542352 / 4
LCM(87796,87812) = 1927385588

Least Common Multiple (LCM) of 87796 and 87812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87796 and 87812. First we will calculate the prime factors of 87796 and 87812.

Prime Factorization of 87796

Prime Factorization of 87812

Now multiplying the highest exponent prime factors to calculate the LCM of 87796 and 87812.

LCM(87796,87812) = 2² × 47¹ × 467¹ × 29¹ × 757¹
LCM(87796,87812) = 1927385588