What is the Least Common Multiple of 2519 and 2537?

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 2519 and 2537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2519 and 2537, than apply into the LCM equation.

GCF(2519,2537) = 1
LCM(2519,2537) = ( 2519 × 2537) / 1
LCM(2519,2537) = 6390703 / 1
LCM(2519,2537) = 6390703

Least Common Multiple (LCM) of 2519 and 2537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2519 and 2537. First we will calculate the prime factors of 2519 and 2537.

Prime Factorization of 2519

Prime Factorization of 2537

Now multiplying the highest exponent prime factors to calculate the LCM of 2519 and 2537.

LCM(2519,2537) = 11¹ × 229¹ × 43¹ × 59¹
LCM(2519,2537) = 6390703