What is the Least Common Multiple of 87858 and 87876?

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 87858 and 87876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87858 and 87876, than apply into the LCM equation.

GCF(87858,87876) = 18
LCM(87858,87876) = ( 87858 × 87876) / 18
LCM(87858,87876) = 7720609608 / 18
LCM(87858,87876) = 428922756

Least Common Multiple (LCM) of 87858 and 87876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87858 and 87876. First we will calculate the prime factors of 87858 and 87876.

Prime Factorization of 87858

Prime Factorization of 87876

Now multiplying the highest exponent prime factors to calculate the LCM of 87858 and 87876.

LCM(87858,87876) = 2² × 3³ × 1627¹ × 2441¹
LCM(87858,87876) = 428922756