What is the Least Common Multiple of 73926 and 73944?

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 73926 and 73944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73926 and 73944, than apply into the LCM equation.

GCF(73926,73944) = 18
LCM(73926,73944) = ( 73926 × 73944) / 18
LCM(73926,73944) = 5466384144 / 18
LCM(73926,73944) = 303688008

Least Common Multiple (LCM) of 73926 and 73944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73926 and 73944. First we will calculate the prime factors of 73926 and 73944.

Prime Factorization of 73926

Prime Factorization of 73944

Now multiplying the highest exponent prime factors to calculate the LCM of 73926 and 73944.

LCM(73926,73944) = 2³ × 3³ × 37² × 13¹ × 79¹
LCM(73926,73944) = 303688008