What is the Least Common Multiple of 94395 and 94400?

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 94400 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 94400, than apply into the LCM equation.

GCF(94395,94400) = 5
LCM(94395,94400) = ( 94395 × 94400) / 5
LCM(94395,94400) = 8910888000 / 5
LCM(94395,94400) = 1782177600

Least Common Multiple (LCM) of 94395 and 94400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94395 and 94400. First we will calculate the prime factors of 94395 and 94400.

Prime Factorization of 94395

Prime Factorization of 94400

Now multiplying the highest exponent prime factors to calculate the LCM of 94395 and 94400.

LCM(94395,94400) = 3¹ × 5² × 7¹ × 29¹ × 31¹ × 2⁶ × 59¹
LCM(94395,94400) = 1782177600