What is the Least Common Multiple of 88452 and 88468?

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 88452 and 88468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88452 and 88468, than apply into the LCM equation.

GCF(88452,88468) = 4
LCM(88452,88468) = ( 88452 × 88468) / 4
LCM(88452,88468) = 7825171536 / 4
LCM(88452,88468) = 1956292884

Least Common Multiple (LCM) of 88452 and 88468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88452 and 88468. First we will calculate the prime factors of 88452 and 88468.

Prime Factorization of 88452

Prime Factorization of 88468

Now multiplying the highest exponent prime factors to calculate the LCM of 88452 and 88468.

LCM(88452,88468) = 2² × 3⁵ × 7¹ × 13¹ × 17¹ × 1301¹
LCM(88452,88468) = 1956292884