What is the Least Common Multiple of 20272 and 20280?

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 20280 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 20280, than apply into the LCM equation.

GCF(20272,20280) = 8
LCM(20272,20280) = ( 20272 × 20280) / 8
LCM(20272,20280) = 411116160 / 8
LCM(20272,20280) = 51389520

Least Common Multiple (LCM) of 20272 and 20280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20272 and 20280. First we will calculate the prime factors of 20272 and 20280.

Prime Factorization of 20272

Prime Factorization of 20280

Now multiplying the highest exponent prime factors to calculate the LCM of 20272 and 20280.

LCM(20272,20280) = 2⁴ × 7¹ × 181¹ × 3¹ × 5¹ × 13²
LCM(20272,20280) = 51389520