GCF and LCM Calculator Logo

What is the Least Common Multiple of 94579 and 94588?

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 94579 and 94588 is 8946038452.

LCM(94579,94588) = 8946038452

LCM Calculator and
and

Least Common Multiple of 94579 and 94588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94579 and 94588, than apply into the LCM equation.

GCF(94579,94588) = 1
LCM(94579,94588) = ( 94579 × 94588) / 1
LCM(94579,94588) = 8946038452 / 1
LCM(94579,94588) = 8946038452

Least Common Multiple (LCM) of 94579 and 94588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94579 and 94588. First we will calculate the prime factors of 94579 and 94588.

Prime Factorization of 94579

Prime factors of 94579 are 271, 349. Prime factorization of 94579 in exponential form is:

94579 = 2711 × 3491

Prime Factorization of 94588

Prime factors of 94588 are 2, 13, 17, 107. Prime factorization of 94588 in exponential form is:

94588 = 22 × 131 × 171 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 94579 and 94588.

LCM(94579,94588) = 2711 × 3491 × 22 × 131 × 171 × 1071
LCM(94579,94588) = 8946038452