What is the Least Common Multiple of 73950 and 73967?

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 73950 and 73967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73950 and 73967, than apply into the LCM equation.

GCF(73950,73967) = 17
LCM(73950,73967) = ( 73950 × 73967) / 17
LCM(73950,73967) = 5469859650 / 17
LCM(73950,73967) = 321756450

Least Common Multiple (LCM) of 73950 and 73967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73950 and 73967. First we will calculate the prime factors of 73950 and 73967.

Prime Factorization of 73950

Prime Factorization of 73967

Now multiplying the highest exponent prime factors to calculate the LCM of 73950 and 73967.

LCM(73950,73967) = 2¹ × 3¹ × 5² × 17¹ × 29¹ × 19¹ × 229¹
LCM(73950,73967) = 321756450