What is the Least Common Multiple of 51680 and 51697?

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 51697 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 51697, than apply into the LCM equation.

GCF(51680,51697) = 17
LCM(51680,51697) = ( 51680 × 51697) / 17
LCM(51680,51697) = 2671700960 / 17
LCM(51680,51697) = 157158880

Least Common Multiple (LCM) of 51680 and 51697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51680 and 51697. First we will calculate the prime factors of 51680 and 51697.

Prime Factorization of 51680

Prime Factorization of 51697

Now multiplying the highest exponent prime factors to calculate the LCM of 51680 and 51697.

LCM(51680,51697) = 2⁵ × 5¹ × 17¹ × 19¹ × 3041¹
LCM(51680,51697) = 157158880