What is the Least Common Multiple of 73944 and 73950?

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 73950 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 73950, than apply into the LCM equation.

GCF(73944,73950) = 6
LCM(73944,73950) = ( 73944 × 73950) / 6
LCM(73944,73950) = 5468158800 / 6
LCM(73944,73950) = 911359800

Least Common Multiple (LCM) of 73944 and 73950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73944 and 73950. First we will calculate the prime factors of 73944 and 73950.

Prime Factorization of 73944

Prime Factorization of 73950

Now multiplying the highest exponent prime factors to calculate the LCM of 73944 and 73950.

LCM(73944,73950) = 2³ × 3² × 13¹ × 79¹ × 5² × 17¹ × 29¹
LCM(73944,73950) = 911359800