GCF and LCM Calculator Logo

What is the Least Common Multiple of 94056 and 94065?

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 94056 and 94065 is 2949125880.

LCM(94056,94065) = 2949125880

LCM Calculator and
and

Least Common Multiple of 94056 and 94065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94056 and 94065, than apply into the LCM equation.

GCF(94056,94065) = 3
LCM(94056,94065) = ( 94056 × 94065) / 3
LCM(94056,94065) = 8847377640 / 3
LCM(94056,94065) = 2949125880

Least Common Multiple (LCM) of 94056 and 94065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94056 and 94065. First we will calculate the prime factors of 94056 and 94065.

Prime Factorization of 94056

Prime factors of 94056 are 2, 3, 3919. Prime factorization of 94056 in exponential form is:

94056 = 23 × 31 × 39191

Prime Factorization of 94065

Prime factors of 94065 are 3, 5, 6271. Prime factorization of 94065 in exponential form is:

94065 = 31 × 51 × 62711

Now multiplying the highest exponent prime factors to calculate the LCM of 94056 and 94065.

LCM(94056,94065) = 23 × 31 × 39191 × 51 × 62711
LCM(94056,94065) = 2949125880