What is the Least Common Multiple of 70272 and 70288?

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 70272 and 70288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70272 and 70288, than apply into the LCM equation.

GCF(70272,70288) = 16
LCM(70272,70288) = ( 70272 × 70288) / 16
LCM(70272,70288) = 4939278336 / 16
LCM(70272,70288) = 308704896

Least Common Multiple (LCM) of 70272 and 70288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70272 and 70288. First we will calculate the prime factors of 70272 and 70288.

Prime Factorization of 70272

Prime Factorization of 70288

Now multiplying the highest exponent prime factors to calculate the LCM of 70272 and 70288.

LCM(70272,70288) = 2⁷ × 3² × 61¹ × 23¹ × 191¹
LCM(70272,70288) = 308704896