GCF and LCM Calculator Logo

What is the Least Common Multiple of 79913 and 79918?

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 79913 and 79918 is 6386487134.

LCM(79913,79918) = 6386487134

LCM Calculator and
and

Least Common Multiple of 79913 and 79918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79913 and 79918, than apply into the LCM equation.

GCF(79913,79918) = 1
LCM(79913,79918) = ( 79913 × 79918) / 1
LCM(79913,79918) = 6386487134 / 1
LCM(79913,79918) = 6386487134

Least Common Multiple (LCM) of 79913 and 79918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79913 and 79918. First we will calculate the prime factors of 79913 and 79918.

Prime Factorization of 79913

Prime factors of 79913 are 157, 509. Prime factorization of 79913 in exponential form is:

79913 = 1571 × 5091

Prime Factorization of 79918

Prime factors of 79918 are 2, 31, 1289. Prime factorization of 79918 in exponential form is:

79918 = 21 × 311 × 12891

Now multiplying the highest exponent prime factors to calculate the LCM of 79913 and 79918.

LCM(79913,79918) = 1571 × 5091 × 21 × 311 × 12891
LCM(79913,79918) = 6386487134