What is the Least Common Multiple of 12713 and 12727?

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 12713 and 12727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12713 and 12727, than apply into the LCM equation.

GCF(12713,12727) = 1
LCM(12713,12727) = ( 12713 × 12727) / 1
LCM(12713,12727) = 161798351 / 1
LCM(12713,12727) = 161798351

Least Common Multiple (LCM) of 12713 and 12727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12713 and 12727. First we will calculate the prime factors of 12713 and 12727.

Prime Factorization of 12713

Prime Factorization of 12727

Now multiplying the highest exponent prime factors to calculate the LCM of 12713 and 12727.

LCM(12713,12727) = 12713¹ × 11¹ × 13¹ × 89¹
LCM(12713,12727) = 161798351