What is the Least Common Multiple of 6519 and 6536?

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 6519 and 6536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6519 and 6536, than apply into the LCM equation.

GCF(6519,6536) = 1
LCM(6519,6536) = ( 6519 × 6536) / 1
LCM(6519,6536) = 42608184 / 1
LCM(6519,6536) = 42608184

Least Common Multiple (LCM) of 6519 and 6536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6519 and 6536. First we will calculate the prime factors of 6519 and 6536.

Prime Factorization of 6519

Prime Factorization of 6536

Now multiplying the highest exponent prime factors to calculate the LCM of 6519 and 6536.

LCM(6519,6536) = 3¹ × 41¹ × 53¹ × 2³ × 19¹ × 43¹
LCM(6519,6536) = 42608184