What is the Least Common Multiple of 13114 and 13127?

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 of 13114 and 13127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13114 and 13127, than apply into the LCM equation.

GCF(13114,13127) = 1
LCM(13114,13127) = ( 13114 × 13127) / 1
LCM(13114,13127) = 172147478 / 1
LCM(13114,13127) = 172147478

Least Common Multiple (LCM) of 13114 and 13127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13114 and 13127. First we will calculate the prime factors of 13114 and 13127.

Prime Factorization of 13114

Prime Factorization of 13127

Now multiplying the highest exponent prime factors to calculate the LCM of 13114 and 13127.

LCM(13114,13127) = 2¹ × 79¹ × 83¹ × 13127¹
LCM(13114,13127) = 172147478