What is the Least Common Multiple of 40724 and 40732?

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 40724 and 40732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40724 and 40732, than apply into the LCM equation.

GCF(40724,40732) = 4
LCM(40724,40732) = ( 40724 × 40732) / 4
LCM(40724,40732) = 1658769968 / 4
LCM(40724,40732) = 414692492

Least Common Multiple (LCM) of 40724 and 40732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40724 and 40732. First we will calculate the prime factors of 40724 and 40732.

Prime Factorization of 40724

Prime Factorization of 40732

Now multiplying the highest exponent prime factors to calculate the LCM of 40724 and 40732.

LCM(40724,40732) = 2² × 10181¹ × 17¹ × 599¹
LCM(40724,40732) = 414692492