What is the Least Common Multiple of 73275 and 73280?

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 73275 and 73280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73275 and 73280, than apply into the LCM equation.

GCF(73275,73280) = 5
LCM(73275,73280) = ( 73275 × 73280) / 5
LCM(73275,73280) = 5369592000 / 5
LCM(73275,73280) = 1073918400

Least Common Multiple (LCM) of 73275 and 73280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73275 and 73280. First we will calculate the prime factors of 73275 and 73280.

Prime Factorization of 73275

Prime Factorization of 73280

Now multiplying the highest exponent prime factors to calculate the LCM of 73275 and 73280.

LCM(73275,73280) = 3¹ × 5² × 977¹ × 2⁶ × 229¹
LCM(73275,73280) = 1073918400