What is the Least Common Multiple of 22517 and 22537?

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 22517 and 22537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22517 and 22537, than apply into the LCM equation.

GCF(22517,22537) = 1
LCM(22517,22537) = ( 22517 × 22537) / 1
LCM(22517,22537) = 507465629 / 1
LCM(22517,22537) = 507465629

Least Common Multiple (LCM) of 22517 and 22537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22517 and 22537. First we will calculate the prime factors of 22517 and 22537.

Prime Factorization of 22517

Prime Factorization of 22537

Now multiplying the highest exponent prime factors to calculate the LCM of 22517 and 22537.

LCM(22517,22537) = 11¹ × 23¹ × 89¹ × 31¹ × 727¹
LCM(22517,22537) = 507465629