What is the Least Common Multiple of 70254 and 70272?

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 70254 and 70272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70254 and 70272, than apply into the LCM equation.

GCF(70254,70272) = 18
LCM(70254,70272) = ( 70254 × 70272) / 18
LCM(70254,70272) = 4936889088 / 18
LCM(70254,70272) = 274271616

Least Common Multiple (LCM) of 70254 and 70272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70254 and 70272. First we will calculate the prime factors of 70254 and 70272.

Prime Factorization of 70254

Prime Factorization of 70272

Now multiplying the highest exponent prime factors to calculate the LCM of 70254 and 70272.

LCM(70254,70272) = 2⁷ × 3³ × 1301¹ × 61¹
LCM(70254,70272) = 274271616