GCF and LCM Calculator Logo

What is the Least Common Multiple of 12598 and 12610?

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 12598 and 12610 is 79430390.

LCM(12598,12610) = 79430390

LCM Calculator and
and

Least Common Multiple of 12598 and 12610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12598 and 12610, than apply into the LCM equation.

GCF(12598,12610) = 2
LCM(12598,12610) = ( 12598 × 12610) / 2
LCM(12598,12610) = 158860780 / 2
LCM(12598,12610) = 79430390

Least Common Multiple (LCM) of 12598 and 12610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12598 and 12610. First we will calculate the prime factors of 12598 and 12610.

Prime Factorization of 12598

Prime factors of 12598 are 2, 6299. Prime factorization of 12598 in exponential form is:

12598 = 21 × 62991

Prime Factorization of 12610

Prime factors of 12610 are 2, 5, 13, 97. Prime factorization of 12610 in exponential form is:

12610 = 21 × 51 × 131 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 12598 and 12610.

LCM(12598,12610) = 21 × 62991 × 51 × 131 × 971
LCM(12598,12610) = 79430390