What is the Least Common Multiple of 51729 and 51743?

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 51729 and 51743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51729 and 51743, than apply into the LCM equation.

GCF(51729,51743) = 1
LCM(51729,51743) = ( 51729 × 51743) / 1
LCM(51729,51743) = 2676613647 / 1
LCM(51729,51743) = 2676613647

Least Common Multiple (LCM) of 51729 and 51743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51729 and 51743. First we will calculate the prime factors of 51729 and 51743.

Prime Factorization of 51729

Prime Factorization of 51743

Now multiplying the highest exponent prime factors to calculate the LCM of 51729 and 51743.

LCM(51729,51743) = 3¹ × 43¹ × 401¹ × 59¹ × 877¹
LCM(51729,51743) = 2676613647