GCF and LCM Calculator Logo

What is the Least Common Multiple of 94145 and 94164?

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 94145 and 94164 is 466582620.

LCM(94145,94164) = 466582620

LCM Calculator and
and

Least Common Multiple of 94145 and 94164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94145 and 94164, than apply into the LCM equation.

GCF(94145,94164) = 19
LCM(94145,94164) = ( 94145 × 94164) / 19
LCM(94145,94164) = 8865069780 / 19
LCM(94145,94164) = 466582620

Least Common Multiple (LCM) of 94145 and 94164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94145 and 94164. First we will calculate the prime factors of 94145 and 94164.

Prime Factorization of 94145

Prime factors of 94145 are 5, 19, 991. Prime factorization of 94145 in exponential form is:

94145 = 51 × 191 × 9911

Prime Factorization of 94164

Prime factors of 94164 are 2, 3, 7, 19, 59. Prime factorization of 94164 in exponential form is:

94164 = 22 × 31 × 71 × 191 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 94145 and 94164.

LCM(94145,94164) = 51 × 191 × 9911 × 22 × 31 × 71 × 591
LCM(94145,94164) = 466582620