GCF and LCM Calculator Logo

What is the Least Common Multiple of 13108 and 13114?

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 13108 and 13114 is 85949156.

LCM(13108,13114) = 85949156

LCM Calculator and
and

Least Common Multiple of 13108 and 13114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13108 and 13114, than apply into the LCM equation.

GCF(13108,13114) = 2
LCM(13108,13114) = ( 13108 × 13114) / 2
LCM(13108,13114) = 171898312 / 2
LCM(13108,13114) = 85949156

Least Common Multiple (LCM) of 13108 and 13114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13108 and 13114. First we will calculate the prime factors of 13108 and 13114.

Prime Factorization of 13108

Prime factors of 13108 are 2, 29, 113. Prime factorization of 13108 in exponential form is:

13108 = 22 × 291 × 1131

Prime Factorization of 13114

Prime factors of 13114 are 2, 79, 83. Prime factorization of 13114 in exponential form is:

13114 = 21 × 791 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 13108 and 13114.

LCM(13108,13114) = 22 × 291 × 1131 × 791 × 831
LCM(13108,13114) = 85949156