What is the Least Common Multiple of 12678 and 12690?

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 12690 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 12690, than apply into the LCM equation.

GCF(12678,12690) = 6
LCM(12678,12690) = ( 12678 × 12690) / 6
LCM(12678,12690) = 160883820 / 6
LCM(12678,12690) = 26813970

Least Common Multiple (LCM) of 12678 and 12690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12678 and 12690. First we will calculate the prime factors of 12678 and 12690.

Prime Factorization of 12678

Prime Factorization of 12690

Now multiplying the highest exponent prime factors to calculate the LCM of 12678 and 12690.

LCM(12678,12690) = 2¹ × 3³ × 2113¹ × 5¹ × 47¹
LCM(12678,12690) = 26813970