What is the Least Common Multiple of 94059 and 94074?

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 94059 and 94074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94059 and 94074, than apply into the LCM equation.

GCF(94059,94074) = 3
LCM(94059,94074) = ( 94059 × 94074) / 3
LCM(94059,94074) = 8848506366 / 3
LCM(94059,94074) = 2949502122

Least Common Multiple (LCM) of 94059 and 94074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94059 and 94074. First we will calculate the prime factors of 94059 and 94074.

Prime Factorization of 94059

Prime Factorization of 94074

Now multiplying the highest exponent prime factors to calculate the LCM of 94059 and 94074.

LCM(94059,94074) = 3² × 7¹ × 1493¹ × 2¹ × 15679¹
LCM(94059,94074) = 2949502122