What is the Least Common Multiple of 27519 and 27537?

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 27519 and 27537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27519 and 27537, than apply into the LCM equation.

GCF(27519,27537) = 3
LCM(27519,27537) = ( 27519 × 27537) / 3
LCM(27519,27537) = 757790703 / 3
LCM(27519,27537) = 252596901

Least Common Multiple (LCM) of 27519 and 27537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27519 and 27537. First we will calculate the prime factors of 27519 and 27537.

Prime Factorization of 27519

Prime Factorization of 27537

Now multiplying the highest exponent prime factors to calculate the LCM of 27519 and 27537.

LCM(27519,27537) = 3¹ × 9173¹ × 67¹ × 137¹
LCM(27519,27537) = 252596901