What is the Least Common Multiple of 20712 and 20727?

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 20712 and 20727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20712 and 20727, than apply into the LCM equation.

GCF(20712,20727) = 3
LCM(20712,20727) = ( 20712 × 20727) / 3
LCM(20712,20727) = 429297624 / 3
LCM(20712,20727) = 143099208

Least Common Multiple (LCM) of 20712 and 20727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20712 and 20727. First we will calculate the prime factors of 20712 and 20727.

Prime Factorization of 20712

Prime Factorization of 20727

Now multiplying the highest exponent prime factors to calculate the LCM of 20712 and 20727.

LCM(20712,20727) = 2³ × 3² × 863¹ × 7² × 47¹
LCM(20712,20727) = 143099208