GCF and LCM Calculator Logo

What is the Least Common Multiple of 94839 and 94858?

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 94839 and 94858 is 8996237862.

LCM(94839,94858) = 8996237862

LCM Calculator and
and

Least Common Multiple of 94839 and 94858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94839 and 94858, than apply into the LCM equation.

GCF(94839,94858) = 1
LCM(94839,94858) = ( 94839 × 94858) / 1
LCM(94839,94858) = 8996237862 / 1
LCM(94839,94858) = 8996237862

Least Common Multiple (LCM) of 94839 and 94858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94839 and 94858. First we will calculate the prime factors of 94839 and 94858.

Prime Factorization of 94839

Prime factors of 94839 are 3, 101, 313. Prime factorization of 94839 in exponential form is:

94839 = 31 × 1011 × 3131

Prime Factorization of 94858

Prime factors of 94858 are 2, 43, 1103. Prime factorization of 94858 in exponential form is:

94858 = 21 × 431 × 11031

Now multiplying the highest exponent prime factors to calculate the LCM of 94839 and 94858.

LCM(94839,94858) = 31 × 1011 × 3131 × 21 × 431 × 11031
LCM(94839,94858) = 8996237862