GCF and LCM Calculator Logo

What is the Least Common Multiple of 94360 and 94368?

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 (LCM) of 94360 and 94368 is 1113070560.

LCM(94360,94368) = 1113070560

LCM Calculator and
and

Least Common Multiple of 94360 and 94368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94360 and 94368, than apply into the LCM equation.

GCF(94360,94368) = 8
LCM(94360,94368) = ( 94360 × 94368) / 8
LCM(94360,94368) = 8904564480 / 8
LCM(94360,94368) = 1113070560

Least Common Multiple (LCM) of 94360 and 94368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94360 and 94368. First we will calculate the prime factors of 94360 and 94368.

Prime Factorization of 94360

Prime factors of 94360 are 2, 5, 7, 337. Prime factorization of 94360 in exponential form is:

94360 = 23 × 51 × 71 × 3371

Prime Factorization of 94368

Prime factors of 94368 are 2, 3, 983. Prime factorization of 94368 in exponential form is:

94368 = 25 × 31 × 9831

Now multiplying the highest exponent prime factors to calculate the LCM of 94360 and 94368.

LCM(94360,94368) = 25 × 51 × 71 × 3371 × 31 × 9831
LCM(94360,94368) = 1113070560