What is the Least Common Multiple of 12690 and 12710?

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 12690 and 12710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12690 and 12710, than apply into the LCM equation.

GCF(12690,12710) = 10
LCM(12690,12710) = ( 12690 × 12710) / 10
LCM(12690,12710) = 161289900 / 10
LCM(12690,12710) = 16128990

Least Common Multiple (LCM) of 12690 and 12710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12690 and 12710. First we will calculate the prime factors of 12690 and 12710.

Prime Factorization of 12690

Prime Factorization of 12710

Now multiplying the highest exponent prime factors to calculate the LCM of 12690 and 12710.

LCM(12690,12710) = 2¹ × 3³ × 5¹ × 47¹ × 31¹ × 41¹
LCM(12690,12710) = 16128990