What is the Least Common Multiple of 74275 and 74280?

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 74275 and 74280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74275 and 74280, than apply into the LCM equation.

GCF(74275,74280) = 5
LCM(74275,74280) = ( 74275 × 74280) / 5
LCM(74275,74280) = 5517147000 / 5
LCM(74275,74280) = 1103429400

Least Common Multiple (LCM) of 74275 and 74280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74275 and 74280. First we will calculate the prime factors of 74275 and 74280.

Prime Factorization of 74275

Prime Factorization of 74280

Now multiplying the highest exponent prime factors to calculate the LCM of 74275 and 74280.

LCM(74275,74280) = 5² × 2971¹ × 2³ × 3¹ × 619¹
LCM(74275,74280) = 1103429400