What is the Least Common Multiple of 6509 and 6513?

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 6509 and 6513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6509 and 6513, than apply into the LCM equation.

GCF(6509,6513) = 1
LCM(6509,6513) = ( 6509 × 6513) / 1
LCM(6509,6513) = 42393117 / 1
LCM(6509,6513) = 42393117

Least Common Multiple (LCM) of 6509 and 6513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6509 and 6513. First we will calculate the prime factors of 6509 and 6513.

Prime Factorization of 6509

Prime Factorization of 6513

Now multiplying the highest exponent prime factors to calculate the LCM of 6509 and 6513.

LCM(6509,6513) = 23¹ × 283¹ × 3¹ × 13¹ × 167¹
LCM(6509,6513) = 42393117