What is the Least Common Multiple of 73956 and 73971?

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 73956 and 73971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73956 and 73971, than apply into the LCM equation.

GCF(73956,73971) = 3
LCM(73956,73971) = ( 73956 × 73971) / 3
LCM(73956,73971) = 5470599276 / 3
LCM(73956,73971) = 1823533092

Least Common Multiple (LCM) of 73956 and 73971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73956 and 73971. First we will calculate the prime factors of 73956 and 73971.

Prime Factorization of 73956

Prime Factorization of 73971

Now multiplying the highest exponent prime factors to calculate the LCM of 73956 and 73971.

LCM(73956,73971) = 2² × 3² × 6163¹ × 8219¹
LCM(73956,73971) = 1823533092