GCF and LCM Calculator Logo

What is the Least Common Multiple of 59081 and 59091?

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 59081 and 59091 is 3491155371.

LCM(59081,59091) = 3491155371

LCM Calculator and
and

Least Common Multiple of 59081 and 59091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59081 and 59091, than apply into the LCM equation.

GCF(59081,59091) = 1
LCM(59081,59091) = ( 59081 × 59091) / 1
LCM(59081,59091) = 3491155371 / 1
LCM(59081,59091) = 3491155371

Least Common Multiple (LCM) of 59081 and 59091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59081 and 59091. First we will calculate the prime factors of 59081 and 59091.

Prime Factorization of 59081

Prime factors of 59081 are 11, 41, 131. Prime factorization of 59081 in exponential form is:

59081 = 111 × 411 × 1311

Prime Factorization of 59091

Prime factors of 59091 are 3, 19697. Prime factorization of 59091 in exponential form is:

59091 = 31 × 196971

Now multiplying the highest exponent prime factors to calculate the LCM of 59081 and 59091.

LCM(59081,59091) = 111 × 411 × 1311 × 31 × 196971
LCM(59081,59091) = 3491155371