What is the Least Common Multiple of 88052 and 88066?

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 88052 and 88066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88052 and 88066, than apply into the LCM equation.

GCF(88052,88066) = 2
LCM(88052,88066) = ( 88052 × 88066) / 2
LCM(88052,88066) = 7754387432 / 2
LCM(88052,88066) = 3877193716

Least Common Multiple (LCM) of 88052 and 88066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88052 and 88066. First we will calculate the prime factors of 88052 and 88066.

Prime Factorization of 88052

Prime Factorization of 88066

Now multiplying the highest exponent prime factors to calculate the LCM of 88052 and 88066.

LCM(88052,88066) = 2² × 22013¹ × 11¹ × 4003¹
LCM(88052,88066) = 3877193716