What is the Least Common Multiple of 87048 and 87061?

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 87048 and 87061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87048 and 87061, than apply into the LCM equation.

GCF(87048,87061) = 13
LCM(87048,87061) = ( 87048 × 87061) / 13
LCM(87048,87061) = 7578485928 / 13
LCM(87048,87061) = 582960456

Least Common Multiple (LCM) of 87048 and 87061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87048 and 87061. First we will calculate the prime factors of 87048 and 87061.

Prime Factorization of 87048

Prime Factorization of 87061

Now multiplying the highest exponent prime factors to calculate the LCM of 87048 and 87061.

LCM(87048,87061) = 2³ × 3³ × 13¹ × 31¹ × 37¹ × 181¹
LCM(87048,87061) = 582960456