What is the Least Common Multiple of 15670 and 15674?

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 15674 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 15674, than apply into the LCM equation.

GCF(15670,15674) = 2
LCM(15670,15674) = ( 15670 × 15674) / 2
LCM(15670,15674) = 245611580 / 2
LCM(15670,15674) = 122805790

Least Common Multiple (LCM) of 15670 and 15674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15670 and 15674. First we will calculate the prime factors of 15670 and 15674.

Prime Factorization of 15670

Prime Factorization of 15674

Now multiplying the highest exponent prime factors to calculate the LCM of 15670 and 15674.

LCM(15670,15674) = 2¹ × 5¹ × 1567¹ × 17¹ × 461¹
LCM(15670,15674) = 122805790