GCF and LCM Calculator Logo

What is the Least Common Multiple of 94091 and 94105?

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 94091 and 94105 is 8854433555.

LCM(94091,94105) = 8854433555

LCM Calculator and
and

Least Common Multiple of 94091 and 94105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94091 and 94105, than apply into the LCM equation.

GCF(94091,94105) = 1
LCM(94091,94105) = ( 94091 × 94105) / 1
LCM(94091,94105) = 8854433555 / 1
LCM(94091,94105) = 8854433555

Least Common Multiple (LCM) of 94091 and 94105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94091 and 94105. First we will calculate the prime factors of 94091 and 94105.

Prime Factorization of 94091

Prime factors of 94091 are 37, 2543. Prime factorization of 94091 in exponential form is:

94091 = 371 × 25431

Prime Factorization of 94105

Prime factors of 94105 are 5, 11, 29, 59. Prime factorization of 94105 in exponential form is:

94105 = 51 × 111 × 291 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 94091 and 94105.

LCM(94091,94105) = 371 × 25431 × 51 × 111 × 291 × 591
LCM(94091,94105) = 8854433555