GCF and LCM Calculator Logo

What is the Least Common Multiple of 58091 and 58106?

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 58091 and 58106 is 3375435646.

LCM(58091,58106) = 3375435646

LCM Calculator and
and

Least Common Multiple of 58091 and 58106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58091 and 58106, than apply into the LCM equation.

GCF(58091,58106) = 1
LCM(58091,58106) = ( 58091 × 58106) / 1
LCM(58091,58106) = 3375435646 / 1
LCM(58091,58106) = 3375435646

Least Common Multiple (LCM) of 58091 and 58106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58091 and 58106. First we will calculate the prime factors of 58091 and 58106.

Prime Factorization of 58091

Prime factors of 58091 are 11, 5281. Prime factorization of 58091 in exponential form is:

58091 = 111 × 52811

Prime Factorization of 58106

Prime factors of 58106 are 2, 17, 1709. Prime factorization of 58106 in exponential form is:

58106 = 21 × 171 × 17091

Now multiplying the highest exponent prime factors to calculate the LCM of 58091 and 58106.

LCM(58091,58106) = 111 × 52811 × 21 × 171 × 17091
LCM(58091,58106) = 3375435646