GCF and LCM Calculator Logo

What is the Least Common Multiple of 12701 and 12720?

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 12701 and 12720 is 161556720.

LCM(12701,12720) = 161556720

LCM Calculator and
and

Least Common Multiple of 12701 and 12720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12701 and 12720, than apply into the LCM equation.

GCF(12701,12720) = 1
LCM(12701,12720) = ( 12701 × 12720) / 1
LCM(12701,12720) = 161556720 / 1
LCM(12701,12720) = 161556720

Least Common Multiple (LCM) of 12701 and 12720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12701 and 12720. First we will calculate the prime factors of 12701 and 12720.

Prime Factorization of 12701

Prime factors of 12701 are 13, 977. Prime factorization of 12701 in exponential form is:

12701 = 131 × 9771

Prime Factorization of 12720

Prime factors of 12720 are 2, 3, 5, 53. Prime factorization of 12720 in exponential form is:

12720 = 24 × 31 × 51 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 12701 and 12720.

LCM(12701,12720) = 131 × 9771 × 24 × 31 × 51 × 531
LCM(12701,12720) = 161556720