What is the Least Common Multiple of 94074 and 94080?

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 94074 and 94080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94074 and 94080, than apply into the LCM equation.

GCF(94074,94080) = 6
LCM(94074,94080) = ( 94074 × 94080) / 6
LCM(94074,94080) = 8850481920 / 6
LCM(94074,94080) = 1475080320

Least Common Multiple (LCM) of 94074 and 94080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94074 and 94080. First we will calculate the prime factors of 94074 and 94080.

Prime Factorization of 94074

Prime Factorization of 94080

Now multiplying the highest exponent prime factors to calculate the LCM of 94074 and 94080.

LCM(94074,94080) = 2⁷ × 3¹ × 15679¹ × 5¹ × 7²
LCM(94074,94080) = 1475080320