What is the Least Common Multiple of 52496 and 52514?

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 52496 and 52514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52496 and 52514, than apply into the LCM equation.

GCF(52496,52514) = 2
LCM(52496,52514) = ( 52496 × 52514) / 2
LCM(52496,52514) = 2756774944 / 2
LCM(52496,52514) = 1378387472

Least Common Multiple (LCM) of 52496 and 52514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52496 and 52514. First we will calculate the prime factors of 52496 and 52514.

Prime Factorization of 52496

Prime Factorization of 52514

Now multiplying the highest exponent prime factors to calculate the LCM of 52496 and 52514.

LCM(52496,52514) = 2⁴ × 17¹ × 193¹ × 7¹ × 11² × 31¹
LCM(52496,52514) = 1378387472