What is the Least Common Multiple of 52496 and 52503?

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 52503 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 52503, than apply into the LCM equation.

GCF(52496,52503) = 1
LCM(52496,52503) = ( 52496 × 52503) / 1
LCM(52496,52503) = 2756197488 / 1
LCM(52496,52503) = 2756197488

Least Common Multiple (LCM) of 52496 and 52503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52496 and 52503. First we will calculate the prime factors of 52496 and 52503.

Prime Factorization of 52496

Prime Factorization of 52503

Now multiplying the highest exponent prime factors to calculate the LCM of 52496 and 52503.

LCM(52496,52503) = 2⁴ × 17¹ × 193¹ × 3¹ × 11¹ × 37¹ × 43¹
LCM(52496,52503) = 2756197488