What is the Least Common Multiple of 88425 and 88436?

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 88425 and 88436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88425 and 88436, than apply into the LCM equation.

GCF(88425,88436) = 1
LCM(88425,88436) = ( 88425 × 88436) / 1
LCM(88425,88436) = 7819953300 / 1
LCM(88425,88436) = 7819953300

Least Common Multiple (LCM) of 88425 and 88436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88425 and 88436. First we will calculate the prime factors of 88425 and 88436.

Prime Factorization of 88425

Prime Factorization of 88436

Now multiplying the highest exponent prime factors to calculate the LCM of 88425 and 88436.

LCM(88425,88436) = 3³ × 5² × 131¹ × 2² × 22109¹
LCM(88425,88436) = 7819953300