What is the Least Common Multiple of 15674 and 15680?

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 15674 and 15680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15674 and 15680, than apply into the LCM equation.

GCF(15674,15680) = 2
LCM(15674,15680) = ( 15674 × 15680) / 2
LCM(15674,15680) = 245768320 / 2
LCM(15674,15680) = 122884160

Least Common Multiple (LCM) of 15674 and 15680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15674 and 15680. First we will calculate the prime factors of 15674 and 15680.

Prime Factorization of 15674

Prime Factorization of 15680

Now multiplying the highest exponent prime factors to calculate the LCM of 15674 and 15680.

LCM(15674,15680) = 2⁶ × 17¹ × 461¹ × 5¹ × 7²
LCM(15674,15680) = 122884160