What is the Least Common Multiple of 15680 and 15687?

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 15680 and 15687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15680 and 15687, than apply into the LCM equation.

GCF(15680,15687) = 7
LCM(15680,15687) = ( 15680 × 15687) / 7
LCM(15680,15687) = 245972160 / 7
LCM(15680,15687) = 35138880

Least Common Multiple (LCM) of 15680 and 15687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15680 and 15687. First we will calculate the prime factors of 15680 and 15687.

Prime Factorization of 15680

Prime Factorization of 15687

Now multiplying the highest exponent prime factors to calculate the LCM of 15680 and 15687.

LCM(15680,15687) = 2⁶ × 5¹ × 7² × 3³ × 83¹
LCM(15680,15687) = 35138880