What is the Least Common Multiple of 94312 and 94320?

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 94312 and 94320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94312 and 94320, than apply into the LCM equation.

GCF(94312,94320) = 8
LCM(94312,94320) = ( 94312 × 94320) / 8
LCM(94312,94320) = 8895507840 / 8
LCM(94312,94320) = 1111938480

Least Common Multiple (LCM) of 94312 and 94320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94312 and 94320. First we will calculate the prime factors of 94312 and 94320.

Prime Factorization of 94312

Prime Factorization of 94320

Now multiplying the highest exponent prime factors to calculate the LCM of 94312 and 94320.

LCM(94312,94320) = 2⁴ × 11789¹ × 3² × 5¹ × 131¹
LCM(94312,94320) = 1111938480