What is the Least Common Multiple of 51724 and 51738?

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 51738 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 51738, than apply into the LCM equation.

GCF(51724,51738) = 2
LCM(51724,51738) = ( 51724 × 51738) / 2
LCM(51724,51738) = 2676096312 / 2
LCM(51724,51738) = 1338048156

Least Common Multiple (LCM) of 51724 and 51738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51724 and 51738. First we will calculate the prime factors of 51724 and 51738.

Prime Factorization of 51724

Prime Factorization of 51738

Now multiplying the highest exponent prime factors to calculate the LCM of 51724 and 51738.

LCM(51724,51738) = 2² × 67¹ × 193¹ × 3¹ × 8623¹
LCM(51724,51738) = 1338048156