What is the Least Common Multiple of 6509 and 6526?

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 6526 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 6526, than apply into the LCM equation.

GCF(6509,6526) = 1
LCM(6509,6526) = ( 6509 × 6526) / 1
LCM(6509,6526) = 42477734 / 1
LCM(6509,6526) = 42477734

Least Common Multiple (LCM) of 6509 and 6526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6509 and 6526. First we will calculate the prime factors of 6509 and 6526.

Prime Factorization of 6509

Prime Factorization of 6526

Now multiplying the highest exponent prime factors to calculate the LCM of 6509 and 6526.

LCM(6509,6526) = 23¹ × 283¹ × 2¹ × 13¹ × 251¹
LCM(6509,6526) = 42477734