What is the Least Common Multiple of 12678 and 12685?

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 12678 and 12685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12678 and 12685, than apply into the LCM equation.

GCF(12678,12685) = 1
LCM(12678,12685) = ( 12678 × 12685) / 1
LCM(12678,12685) = 160820430 / 1
LCM(12678,12685) = 160820430

Least Common Multiple (LCM) of 12678 and 12685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12678 and 12685. First we will calculate the prime factors of 12678 and 12685.

Prime Factorization of 12678

Prime Factorization of 12685

Now multiplying the highest exponent prime factors to calculate the LCM of 12678 and 12685.

LCM(12678,12685) = 2¹ × 3¹ × 2113¹ × 5¹ × 43¹ × 59¹
LCM(12678,12685) = 160820430