What is the Least Common Multiple of 87464 and 87477?

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 87464 and 87477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87464 and 87477, than apply into the LCM equation.

GCF(87464,87477) = 13
LCM(87464,87477) = ( 87464 × 87477) / 13
LCM(87464,87477) = 7651088328 / 13
LCM(87464,87477) = 588545256

Least Common Multiple (LCM) of 87464 and 87477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87464 and 87477. First we will calculate the prime factors of 87464 and 87477.

Prime Factorization of 87464

Prime Factorization of 87477

Now multiplying the highest exponent prime factors to calculate the LCM of 87464 and 87477.

LCM(87464,87477) = 2³ × 13¹ × 29² × 3¹ × 2243¹
LCM(87464,87477) = 588545256