GCF and LCM Calculator Logo

What is the Least Common Multiple of 12601 and 12608?

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 12601 and 12608 is 158873408.

LCM(12601,12608) = 158873408

LCM Calculator and
and

Least Common Multiple of 12601 and 12608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12601 and 12608, than apply into the LCM equation.

GCF(12601,12608) = 1
LCM(12601,12608) = ( 12601 × 12608) / 1
LCM(12601,12608) = 158873408 / 1
LCM(12601,12608) = 158873408

Least Common Multiple (LCM) of 12601 and 12608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12601 and 12608. First we will calculate the prime factors of 12601 and 12608.

Prime Factorization of 12601

Prime factors of 12601 are 12601. Prime factorization of 12601 in exponential form is:

12601 = 126011

Prime Factorization of 12608

Prime factors of 12608 are 2, 197. Prime factorization of 12608 in exponential form is:

12608 = 26 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 12601 and 12608.

LCM(12601,12608) = 126011 × 26 × 1971
LCM(12601,12608) = 158873408