What is the Least Common Multiple of 42509 and 42517?

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 42509 and 42517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42509 and 42517, than apply into the LCM equation.

GCF(42509,42517) = 1
LCM(42509,42517) = ( 42509 × 42517) / 1
LCM(42509,42517) = 1807355153 / 1
LCM(42509,42517) = 1807355153

Least Common Multiple (LCM) of 42509 and 42517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42509 and 42517. First we will calculate the prime factors of 42509 and 42517.

Prime Factorization of 42509

Prime Factorization of 42517

Now multiplying the highest exponent prime factors to calculate the LCM of 42509 and 42517.

LCM(42509,42517) = 42509¹ × 17¹ × 41¹ × 61¹
LCM(42509,42517) = 1807355153