GCF and LCM Calculator Logo

What is the Least Common Multiple of 94757 and 94772?

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 94757 and 94772 is 8980310404.

LCM(94757,94772) = 8980310404

LCM Calculator and
and

Least Common Multiple of 94757 and 94772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94757 and 94772, than apply into the LCM equation.

GCF(94757,94772) = 1
LCM(94757,94772) = ( 94757 × 94772) / 1
LCM(94757,94772) = 8980310404 / 1
LCM(94757,94772) = 8980310404

Least Common Multiple (LCM) of 94757 and 94772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94757 and 94772. First we will calculate the prime factors of 94757 and 94772.

Prime Factorization of 94757

Prime factors of 94757 are 13, 37, 197. Prime factorization of 94757 in exponential form is:

94757 = 131 × 371 × 1971

Prime Factorization of 94772

Prime factors of 94772 are 2, 19, 29, 43. Prime factorization of 94772 in exponential form is:

94772 = 22 × 191 × 291 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 94757 and 94772.

LCM(94757,94772) = 131 × 371 × 1971 × 22 × 191 × 291 × 431
LCM(94757,94772) = 8980310404