GCF and LCM Calculator Logo

What is the Least Common Multiple of 94770 and 94781?

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 94770 and 94781 is 8982395370.

LCM(94770,94781) = 8982395370

LCM Calculator and
and

Least Common Multiple of 94770 and 94781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94770 and 94781, than apply into the LCM equation.

GCF(94770,94781) = 1
LCM(94770,94781) = ( 94770 × 94781) / 1
LCM(94770,94781) = 8982395370 / 1
LCM(94770,94781) = 8982395370

Least Common Multiple (LCM) of 94770 and 94781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94770 and 94781. First we will calculate the prime factors of 94770 and 94781.

Prime Factorization of 94770

Prime factors of 94770 are 2, 3, 5, 13. Prime factorization of 94770 in exponential form is:

94770 = 21 × 36 × 51 × 131

Prime Factorization of 94781

Prime factors of 94781 are 94781. Prime factorization of 94781 in exponential form is:

94781 = 947811

Now multiplying the highest exponent prime factors to calculate the LCM of 94770 and 94781.

LCM(94770,94781) = 21 × 36 × 51 × 131 × 947811
LCM(94770,94781) = 8982395370