What is the Least Common Multiple of 94275 and 94280?

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 94275 and 94280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94275 and 94280, than apply into the LCM equation.

GCF(94275,94280) = 5
LCM(94275,94280) = ( 94275 × 94280) / 5
LCM(94275,94280) = 8888247000 / 5
LCM(94275,94280) = 1777649400

Least Common Multiple (LCM) of 94275 and 94280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94275 and 94280. First we will calculate the prime factors of 94275 and 94280.

Prime Factorization of 94275

Prime Factorization of 94280

Now multiplying the highest exponent prime factors to calculate the LCM of 94275 and 94280.

LCM(94275,94280) = 3² × 5² × 419¹ × 2³ × 2357¹
LCM(94275,94280) = 1777649400