What is the Least Common Multiple of 40944 and 40956?

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 40944 and 40956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40944 and 40956, than apply into the LCM equation.

GCF(40944,40956) = 12
LCM(40944,40956) = ( 40944 × 40956) / 12
LCM(40944,40956) = 1676902464 / 12
LCM(40944,40956) = 139741872

Least Common Multiple (LCM) of 40944 and 40956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40944 and 40956. First we will calculate the prime factors of 40944 and 40956.

Prime Factorization of 40944

Prime Factorization of 40956

Now multiplying the highest exponent prime factors to calculate the LCM of 40944 and 40956.

LCM(40944,40956) = 2⁴ × 3¹ × 853¹ × 3413¹
LCM(40944,40956) = 139741872