What is the Least Common Multiple of 51720 and 51735?

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 51720 and 51735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51720 and 51735, than apply into the LCM equation.

GCF(51720,51735) = 15
LCM(51720,51735) = ( 51720 × 51735) / 15
LCM(51720,51735) = 2675734200 / 15
LCM(51720,51735) = 178382280

Least Common Multiple (LCM) of 51720 and 51735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51720 and 51735. First we will calculate the prime factors of 51720 and 51735.

Prime Factorization of 51720

Prime Factorization of 51735

Now multiplying the highest exponent prime factors to calculate the LCM of 51720 and 51735.

LCM(51720,51735) = 2³ × 3¹ × 5¹ × 431¹ × 3449¹
LCM(51720,51735) = 178382280