What is the Least Common Multiple of 88260 and 88272?

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 88260 and 88272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88260 and 88272, than apply into the LCM equation.

GCF(88260,88272) = 12
LCM(88260,88272) = ( 88260 × 88272) / 12
LCM(88260,88272) = 7790886720 / 12
LCM(88260,88272) = 649240560

Least Common Multiple (LCM) of 88260 and 88272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88260 and 88272. First we will calculate the prime factors of 88260 and 88272.

Prime Factorization of 88260

Prime Factorization of 88272

Now multiplying the highest exponent prime factors to calculate the LCM of 88260 and 88272.

LCM(88260,88272) = 2⁴ × 3² × 5¹ × 1471¹ × 613¹
LCM(88260,88272) = 649240560