What is the Least Common Multiple of 88542 and 88560?

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 88542 and 88560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88542 and 88560, than apply into the LCM equation.

GCF(88542,88560) = 18
LCM(88542,88560) = ( 88542 × 88560) / 18
LCM(88542,88560) = 7841279520 / 18
LCM(88542,88560) = 435626640

Least Common Multiple (LCM) of 88542 and 88560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88542 and 88560. First we will calculate the prime factors of 88542 and 88560.

Prime Factorization of 88542

Prime Factorization of 88560

Now multiplying the highest exponent prime factors to calculate the LCM of 88542 and 88560.

LCM(88542,88560) = 2⁴ × 3³ × 4919¹ × 5¹ × 41¹
LCM(88542,88560) = 435626640