What is the Least Common Multiple of 51680 and 51687?

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 51680 and 51687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51680 and 51687, than apply into the LCM equation.

GCF(51680,51687) = 1
LCM(51680,51687) = ( 51680 × 51687) / 1
LCM(51680,51687) = 2671184160 / 1
LCM(51680,51687) = 2671184160

Least Common Multiple (LCM) of 51680 and 51687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51680 and 51687. First we will calculate the prime factors of 51680 and 51687.

Prime Factorization of 51680

Prime Factorization of 51687

Now multiplying the highest exponent prime factors to calculate the LCM of 51680 and 51687.

LCM(51680,51687) = 2⁵ × 5¹ × 17¹ × 19¹ × 3² × 5743¹
LCM(51680,51687) = 2671184160