What is the Least Common Multiple of 73950 and 73965?

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 73965 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 73965, than apply into the LCM equation.

GCF(73950,73965) = 15
LCM(73950,73965) = ( 73950 × 73965) / 15
LCM(73950,73965) = 5469711750 / 15
LCM(73950,73965) = 364647450

Least Common Multiple (LCM) of 73950 and 73965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73950 and 73965. First we will calculate the prime factors of 73950 and 73965.

Prime Factorization of 73950

Prime Factorization of 73965

Now multiplying the highest exponent prime factors to calculate the LCM of 73950 and 73965.

LCM(73950,73965) = 2¹ × 3¹ × 5² × 17¹ × 29¹ × 4931¹
LCM(73950,73965) = 364647450