What is the Least Common Multiple of 97260 and 97272?

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 97260 and 97272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97260 and 97272, than apply into the LCM equation.

GCF(97260,97272) = 12
LCM(97260,97272) = ( 97260 × 97272) / 12
LCM(97260,97272) = 9460674720 / 12
LCM(97260,97272) = 788389560

Least Common Multiple (LCM) of 97260 and 97272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97260 and 97272. First we will calculate the prime factors of 97260 and 97272.

Prime Factorization of 97260

Prime Factorization of 97272

Now multiplying the highest exponent prime factors to calculate the LCM of 97260 and 97272.

LCM(97260,97272) = 2³ × 3² × 5¹ × 1621¹ × 7¹ × 193¹
LCM(97260,97272) = 788389560