What is the Least Common Multiple of 51709 and 51728?

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 51709 and 51728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51709 and 51728, than apply into the LCM equation.

GCF(51709,51728) = 1
LCM(51709,51728) = ( 51709 × 51728) / 1
LCM(51709,51728) = 2674803152 / 1
LCM(51709,51728) = 2674803152

Least Common Multiple (LCM) of 51709 and 51728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51709 and 51728. First we will calculate the prime factors of 51709 and 51728.

Prime Factorization of 51709

Prime Factorization of 51728

Now multiplying the highest exponent prime factors to calculate the LCM of 51709 and 51728.

LCM(51709,51728) = 7¹ × 83¹ × 89¹ × 2⁴ × 53¹ × 61¹
LCM(51709,51728) = 2674803152