What is the Least Common Multiple of 51724 and 51733?

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 51724 and 51733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51724 and 51733, than apply into the LCM equation.

GCF(51724,51733) = 1
LCM(51724,51733) = ( 51724 × 51733) / 1
LCM(51724,51733) = 2675837692 / 1
LCM(51724,51733) = 2675837692

Least Common Multiple (LCM) of 51724 and 51733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51724 and 51733. First we will calculate the prime factors of 51724 and 51733.

Prime Factorization of 51724

Prime Factorization of 51733

Now multiplying the highest exponent prime factors to calculate the LCM of 51724 and 51733.

LCM(51724,51733) = 2² × 67¹ × 193¹ × 11¹ × 4703¹
LCM(51724,51733) = 2675837692