What is the Least Common Multiple of 52496 and 52507?

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 52507 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 52507, than apply into the LCM equation.

GCF(52496,52507) = 1
LCM(52496,52507) = ( 52496 × 52507) / 1
LCM(52496,52507) = 2756407472 / 1
LCM(52496,52507) = 2756407472

Least Common Multiple (LCM) of 52496 and 52507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52496 and 52507. First we will calculate the prime factors of 52496 and 52507.

Prime Factorization of 52496

Prime Factorization of 52507

Now multiplying the highest exponent prime factors to calculate the LCM of 52496 and 52507.

LCM(52496,52507) = 2⁴ × 17¹ × 193¹ × 7¹ × 13¹ × 577¹
LCM(52496,52507) = 2756407472