What is the Least Common Multiple of 6527 and 6533?

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 6527 and 6533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6527 and 6533, than apply into the LCM equation.

GCF(6527,6533) = 1
LCM(6527,6533) = ( 6527 × 6533) / 1
LCM(6527,6533) = 42640891 / 1
LCM(6527,6533) = 42640891

Least Common Multiple (LCM) of 6527 and 6533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6527 and 6533. First we will calculate the prime factors of 6527 and 6533.

Prime Factorization of 6527

Prime Factorization of 6533

Now multiplying the highest exponent prime factors to calculate the LCM of 6527 and 6533.

LCM(6527,6533) = 61¹ × 107¹ × 47¹ × 139¹
LCM(6527,6533) = 42640891