What is the Least Common Multiple of 52509 and 52517?

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 52509 and 52517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52509 and 52517, than apply into the LCM equation.

GCF(52509,52517) = 1
LCM(52509,52517) = ( 52509 × 52517) / 1
LCM(52509,52517) = 2757615153 / 1
LCM(52509,52517) = 2757615153

Least Common Multiple (LCM) of 52509 and 52517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52509 and 52517. First we will calculate the prime factors of 52509 and 52517.

Prime Factorization of 52509

Prime Factorization of 52517

Now multiplying the highest exponent prime factors to calculate the LCM of 52509 and 52517.

LCM(52509,52517) = 3¹ × 23¹ × 761¹ × 52517¹
LCM(52509,52517) = 2757615153