What is the Least Common Multiple of 87888 and 87900?

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 87888 and 87900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87888 and 87900, than apply into the LCM equation.

GCF(87888,87900) = 12
LCM(87888,87900) = ( 87888 × 87900) / 12
LCM(87888,87900) = 7725355200 / 12
LCM(87888,87900) = 643779600

Least Common Multiple (LCM) of 87888 and 87900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87888 and 87900. First we will calculate the prime factors of 87888 and 87900.

Prime Factorization of 87888

Prime Factorization of 87900

Now multiplying the highest exponent prime factors to calculate the LCM of 87888 and 87900.

LCM(87888,87900) = 2⁴ × 3¹ × 1831¹ × 5² × 293¹
LCM(87888,87900) = 643779600