What is the Least Common Multiple of 51724 and 51744?

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 51744 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 51744, than apply into the LCM equation.

GCF(51724,51744) = 4
LCM(51724,51744) = ( 51724 × 51744) / 4
LCM(51724,51744) = 2676406656 / 4
LCM(51724,51744) = 669101664

Least Common Multiple (LCM) of 51724 and 51744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51724 and 51744. First we will calculate the prime factors of 51724 and 51744.

Prime Factorization of 51724

Prime Factorization of 51744

Now multiplying the highest exponent prime factors to calculate the LCM of 51724 and 51744.

LCM(51724,51744) = 2⁵ × 67¹ × 193¹ × 3¹ × 7² × 11¹
LCM(51724,51744) = 669101664