What is the Least Common Multiple of 15670 and 15678?

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 15670 and 15678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15670 and 15678, than apply into the LCM equation.

GCF(15670,15678) = 2
LCM(15670,15678) = ( 15670 × 15678) / 2
LCM(15670,15678) = 245674260 / 2
LCM(15670,15678) = 122837130

Least Common Multiple (LCM) of 15670 and 15678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15670 and 15678. First we will calculate the prime factors of 15670 and 15678.

Prime Factorization of 15670

Prime Factorization of 15678

Now multiplying the highest exponent prime factors to calculate the LCM of 15670 and 15678.

LCM(15670,15678) = 2¹ × 5¹ × 1567¹ × 3² × 13¹ × 67¹
LCM(15670,15678) = 122837130