What is the Least Common Multiple of 2519 and 2536?

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 2536 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 2536, than apply into the LCM equation.

GCF(2519,2536) = 1
LCM(2519,2536) = ( 2519 × 2536) / 1
LCM(2519,2536) = 6388184 / 1
LCM(2519,2536) = 6388184

Least Common Multiple (LCM) of 2519 and 2536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2519 and 2536. First we will calculate the prime factors of 2519 and 2536.

Prime Factorization of 2519

Prime Factorization of 2536

Now multiplying the highest exponent prime factors to calculate the LCM of 2519 and 2536.

LCM(2519,2536) = 11¹ × 229¹ × 2³ × 317¹
LCM(2519,2536) = 6388184