What is the Least Common Multiple of 12702 and 12713?

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 12702 and 12713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12702 and 12713, than apply into the LCM equation.

GCF(12702,12713) = 1
LCM(12702,12713) = ( 12702 × 12713) / 1
LCM(12702,12713) = 161480526 / 1
LCM(12702,12713) = 161480526

Least Common Multiple (LCM) of 12702 and 12713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12702 and 12713. First we will calculate the prime factors of 12702 and 12713.

Prime Factorization of 12702

Prime Factorization of 12713

Now multiplying the highest exponent prime factors to calculate the LCM of 12702 and 12713.

LCM(12702,12713) = 2¹ × 3¹ × 29¹ × 73¹ × 12713¹
LCM(12702,12713) = 161480526