What is the Least Common Multiple of 87084 and 87100?

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 87084 and 87100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87084 and 87100, than apply into the LCM equation.

GCF(87084,87100) = 4
LCM(87084,87100) = ( 87084 × 87100) / 4
LCM(87084,87100) = 7585016400 / 4
LCM(87084,87100) = 1896254100

Least Common Multiple (LCM) of 87084 and 87100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87084 and 87100. First we will calculate the prime factors of 87084 and 87100.

Prime Factorization of 87084

Prime Factorization of 87100

Now multiplying the highest exponent prime factors to calculate the LCM of 87084 and 87100.

LCM(87084,87100) = 2² × 3² × 41¹ × 59¹ × 5² × 13¹ × 67¹
LCM(87084,87100) = 1896254100