What is the Least Common Multiple of 87451 and 87464?

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 87451 and 87464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87451 and 87464, than apply into the LCM equation.

GCF(87451,87464) = 13
LCM(87451,87464) = ( 87451 × 87464) / 13
LCM(87451,87464) = 7648814264 / 13
LCM(87451,87464) = 588370328

Least Common Multiple (LCM) of 87451 and 87464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87451 and 87464. First we will calculate the prime factors of 87451 and 87464.

Prime Factorization of 87451

Prime Factorization of 87464

Now multiplying the highest exponent prime factors to calculate the LCM of 87451 and 87464.

LCM(87451,87464) = 7¹ × 13¹ × 31² × 2³ × 29²
LCM(87451,87464) = 588370328