What is the Least Common Multiple of 88660 and 88675?

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 88660 and 88675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88660 and 88675, than apply into the LCM equation.

GCF(88660,88675) = 5
LCM(88660,88675) = ( 88660 × 88675) / 5
LCM(88660,88675) = 7861925500 / 5
LCM(88660,88675) = 1572385100

Least Common Multiple (LCM) of 88660 and 88675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88660 and 88675. First we will calculate the prime factors of 88660 and 88675.

Prime Factorization of 88660

Prime Factorization of 88675

Now multiplying the highest exponent prime factors to calculate the LCM of 88660 and 88675.

LCM(88660,88675) = 2² × 5² × 11¹ × 13¹ × 31¹ × 3547¹
LCM(88660,88675) = 1572385100