What is the Least Common Multiple of 40728 and 40740?

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 40728 and 40740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40728 and 40740, than apply into the LCM equation.

GCF(40728,40740) = 12
LCM(40728,40740) = ( 40728 × 40740) / 12
LCM(40728,40740) = 1659258720 / 12
LCM(40728,40740) = 138271560

Least Common Multiple (LCM) of 40728 and 40740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40728 and 40740. First we will calculate the prime factors of 40728 and 40740.

Prime Factorization of 40728

Prime Factorization of 40740

Now multiplying the highest exponent prime factors to calculate the LCM of 40728 and 40740.

LCM(40728,40740) = 2³ × 3¹ × 1697¹ × 5¹ × 7¹ × 97¹
LCM(40728,40740) = 138271560