What is the Least Common Multiple of 20272 and 20288?

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 20272 and 20288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20272 and 20288, than apply into the LCM equation.

GCF(20272,20288) = 16
LCM(20272,20288) = ( 20272 × 20288) / 16
LCM(20272,20288) = 411278336 / 16
LCM(20272,20288) = 25704896

Least Common Multiple (LCM) of 20272 and 20288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20272 and 20288. First we will calculate the prime factors of 20272 and 20288.

Prime Factorization of 20272

Prime Factorization of 20288

Now multiplying the highest exponent prime factors to calculate the LCM of 20272 and 20288.

LCM(20272,20288) = 2⁶ × 7¹ × 181¹ × 317¹
LCM(20272,20288) = 25704896