What is the Least Common Multiple of 51792 and 51796?

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 51792 and 51796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51792 and 51796, than apply into the LCM equation.

GCF(51792,51796) = 4
LCM(51792,51796) = ( 51792 × 51796) / 4
LCM(51792,51796) = 2682618432 / 4
LCM(51792,51796) = 670654608

Least Common Multiple (LCM) of 51792 and 51796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51792 and 51796. First we will calculate the prime factors of 51792 and 51796.

Prime Factorization of 51792

Prime Factorization of 51796

Now multiplying the highest exponent prime factors to calculate the LCM of 51792 and 51796.

LCM(51792,51796) = 2⁴ × 3¹ × 13¹ × 83¹ × 23¹ × 563¹
LCM(51792,51796) = 670654608