What is the Least Common Multiple of 87444 and 87456?

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 87444 and 87456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87444 and 87456, than apply into the LCM equation.

GCF(87444,87456) = 12
LCM(87444,87456) = ( 87444 × 87456) / 12
LCM(87444,87456) = 7647502464 / 12
LCM(87444,87456) = 637291872

Least Common Multiple (LCM) of 87444 and 87456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87444 and 87456. First we will calculate the prime factors of 87444 and 87456.

Prime Factorization of 87444

Prime Factorization of 87456

Now multiplying the highest exponent prime factors to calculate the LCM of 87444 and 87456.

LCM(87444,87456) = 2⁵ × 3² × 7¹ × 347¹ × 911¹
LCM(87444,87456) = 637291872