What is the Least Common Multiple of 88120 and 88136?

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 88120 and 88136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88120 and 88136, than apply into the LCM equation.

GCF(88120,88136) = 8
LCM(88120,88136) = ( 88120 × 88136) / 8
LCM(88120,88136) = 7766544320 / 8
LCM(88120,88136) = 970818040

Least Common Multiple (LCM) of 88120 and 88136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88120 and 88136. First we will calculate the prime factors of 88120 and 88136.

Prime Factorization of 88120

Prime Factorization of 88136

Now multiplying the highest exponent prime factors to calculate the LCM of 88120 and 88136.

LCM(88120,88136) = 2³ × 5¹ × 2203¹ × 23¹ × 479¹
LCM(88120,88136) = 970818040