What is the Least Common Multiple of 94395 and 94410?

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 94395 and 94410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94395 and 94410, than apply into the LCM equation.

GCF(94395,94410) = 15
LCM(94395,94410) = ( 94395 × 94410) / 15
LCM(94395,94410) = 8911831950 / 15
LCM(94395,94410) = 594122130

Least Common Multiple (LCM) of 94395 and 94410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94395 and 94410. First we will calculate the prime factors of 94395 and 94410.

Prime Factorization of 94395

Prime Factorization of 94410

Now multiplying the highest exponent prime factors to calculate the LCM of 94395 and 94410.

LCM(94395,94410) = 3² × 5¹ × 7¹ × 29¹ × 31¹ × 2¹ × 1049¹
LCM(94395,94410) = 594122130