What is the Least Common Multiple of 20272 and 20282?

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 20282 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 20282, than apply into the LCM equation.

GCF(20272,20282) = 2
LCM(20272,20282) = ( 20272 × 20282) / 2
LCM(20272,20282) = 411156704 / 2
LCM(20272,20282) = 205578352

Least Common Multiple (LCM) of 20272 and 20282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20272 and 20282. First we will calculate the prime factors of 20272 and 20282.

Prime Factorization of 20272

Prime Factorization of 20282

Now multiplying the highest exponent prime factors to calculate the LCM of 20272 and 20282.

LCM(20272,20282) = 2⁴ × 7¹ × 181¹ × 10141¹
LCM(20272,20282) = 205578352