What is the Least Common Multiple of 73944 and 73953?

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 73944 and 73953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73944 and 73953, than apply into the LCM equation.

GCF(73944,73953) = 9
LCM(73944,73953) = ( 73944 × 73953) / 9
LCM(73944,73953) = 5468380632 / 9
LCM(73944,73953) = 607597848

Least Common Multiple (LCM) of 73944 and 73953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73944 and 73953. First we will calculate the prime factors of 73944 and 73953.

Prime Factorization of 73944

Prime Factorization of 73953

Now multiplying the highest exponent prime factors to calculate the LCM of 73944 and 73953.

LCM(73944,73953) = 2³ × 3⁴ × 13¹ × 79¹ × 11¹ × 83¹
LCM(73944,73953) = 607597848