What is the Least Common Multiple of 51792 and 51798?

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 51798 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 51798, than apply into the LCM equation.

GCF(51792,51798) = 6
LCM(51792,51798) = ( 51792 × 51798) / 6
LCM(51792,51798) = 2682722016 / 6
LCM(51792,51798) = 447120336

Least Common Multiple (LCM) of 51792 and 51798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51792 and 51798. First we will calculate the prime factors of 51792 and 51798.

Prime Factorization of 51792

Prime Factorization of 51798

Now multiplying the highest exponent prime factors to calculate the LCM of 51792 and 51798.

LCM(51792,51798) = 2⁴ × 3¹ × 13¹ × 83¹ × 89¹ × 97¹
LCM(51792,51798) = 447120336