What is the Least Common Multiple of 87135 and 87147?

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 87135 and 87147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87135 and 87147, than apply into the LCM equation.

GCF(87135,87147) = 3
LCM(87135,87147) = ( 87135 × 87147) / 3
LCM(87135,87147) = 7593553845 / 3
LCM(87135,87147) = 2531184615

Least Common Multiple (LCM) of 87135 and 87147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87135 and 87147. First we will calculate the prime factors of 87135 and 87147.

Prime Factorization of 87135

Prime Factorization of 87147

Now multiplying the highest exponent prime factors to calculate the LCM of 87135 and 87147.

LCM(87135,87147) = 3² × 5¹ × 37¹ × 157¹ × 23¹ × 421¹
LCM(87135,87147) = 2531184615