GCF and LCM Calculator Logo

What is the Least Common Multiple of 94725 and 94745?

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 94725 and 94745 is 1794944025.

LCM(94725,94745) = 1794944025

LCM Calculator and
and

Least Common Multiple of 94725 and 94745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94725 and 94745, than apply into the LCM equation.

GCF(94725,94745) = 5
LCM(94725,94745) = ( 94725 × 94745) / 5
LCM(94725,94745) = 8974720125 / 5
LCM(94725,94745) = 1794944025

Least Common Multiple (LCM) of 94725 and 94745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94725 and 94745. First we will calculate the prime factors of 94725 and 94745.

Prime Factorization of 94725

Prime factors of 94725 are 3, 5, 421. Prime factorization of 94725 in exponential form is:

94725 = 32 × 52 × 4211

Prime Factorization of 94745

Prime factors of 94745 are 5, 7, 2707. Prime factorization of 94745 in exponential form is:

94745 = 51 × 71 × 27071

Now multiplying the highest exponent prime factors to calculate the LCM of 94725 and 94745.

LCM(94725,94745) = 32 × 52 × 4211 × 71 × 27071
LCM(94725,94745) = 1794944025