GCF and LCM Calculator Logo

What is the Least Common Multiple of 7906 and 7910?

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 7906 and 7910 is 31268230.

LCM(7906,7910) = 31268230

LCM Calculator and
and

Least Common Multiple of 7906 and 7910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7906 and 7910, than apply into the LCM equation.

GCF(7906,7910) = 2
LCM(7906,7910) = ( 7906 × 7910) / 2
LCM(7906,7910) = 62536460 / 2
LCM(7906,7910) = 31268230

Least Common Multiple (LCM) of 7906 and 7910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7906 and 7910. First we will calculate the prime factors of 7906 and 7910.

Prime Factorization of 7906

Prime factors of 7906 are 2, 59, 67. Prime factorization of 7906 in exponential form is:

7906 = 21 × 591 × 671

Prime Factorization of 7910

Prime factors of 7910 are 2, 5, 7, 113. Prime factorization of 7910 in exponential form is:

7910 = 21 × 51 × 71 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 7906 and 7910.

LCM(7906,7910) = 21 × 591 × 671 × 51 × 71 × 1131
LCM(7906,7910) = 31268230