What is the Least Common Multiple of 51735 and 51740?

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 51735 and 51740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51735 and 51740, than apply into the LCM equation.

GCF(51735,51740) = 5
LCM(51735,51740) = ( 51735 × 51740) / 5
LCM(51735,51740) = 2676768900 / 5
LCM(51735,51740) = 535353780

Least Common Multiple (LCM) of 51735 and 51740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51735 and 51740. First we will calculate the prime factors of 51735 and 51740.

Prime Factorization of 51735

Prime Factorization of 51740

Now multiplying the highest exponent prime factors to calculate the LCM of 51735 and 51740.

LCM(51735,51740) = 3¹ × 5¹ × 3449¹ × 2² × 13¹ × 199¹
LCM(51735,51740) = 535353780