What is the Least Common Multiple of 39735 and 39740?

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 39735 and 39740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39735 and 39740, than apply into the LCM equation.

GCF(39735,39740) = 5
LCM(39735,39740) = ( 39735 × 39740) / 5
LCM(39735,39740) = 1579068900 / 5
LCM(39735,39740) = 315813780

Least Common Multiple (LCM) of 39735 and 39740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39735 and 39740. First we will calculate the prime factors of 39735 and 39740.

Prime Factorization of 39735

Prime Factorization of 39740

Now multiplying the highest exponent prime factors to calculate the LCM of 39735 and 39740.

LCM(39735,39740) = 3² × 5¹ × 883¹ × 2² × 1987¹
LCM(39735,39740) = 315813780