GCF and LCM Calculator Logo

What is the Least Common Multiple of 94365 and 94377?

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 94365 and 94377 is 2968628535.

LCM(94365,94377) = 2968628535

LCM Calculator and
and

Least Common Multiple of 94365 and 94377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94365 and 94377, than apply into the LCM equation.

GCF(94365,94377) = 3
LCM(94365,94377) = ( 94365 × 94377) / 3
LCM(94365,94377) = 8905885605 / 3
LCM(94365,94377) = 2968628535

Least Common Multiple (LCM) of 94365 and 94377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94365 and 94377. First we will calculate the prime factors of 94365 and 94377.

Prime Factorization of 94365

Prime factors of 94365 are 3, 5, 233. Prime factorization of 94365 in exponential form is:

94365 = 34 × 51 × 2331

Prime Factorization of 94377

Prime factors of 94377 are 3, 163, 193. Prime factorization of 94377 in exponential form is:

94377 = 31 × 1631 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 94365 and 94377.

LCM(94365,94377) = 34 × 51 × 2331 × 1631 × 1931
LCM(94365,94377) = 2968628535