What is the Least Common Multiple of 6590 and 6610?

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 6590 and 6610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6590 and 6610, than apply into the LCM equation.

GCF(6590,6610) = 10
LCM(6590,6610) = ( 6590 × 6610) / 10
LCM(6590,6610) = 43559900 / 10
LCM(6590,6610) = 4355990

Least Common Multiple (LCM) of 6590 and 6610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6590 and 6610. First we will calculate the prime factors of 6590 and 6610.

Prime Factorization of 6590

Prime Factorization of 6610

Now multiplying the highest exponent prime factors to calculate the LCM of 6590 and 6610.

LCM(6590,6610) = 2¹ × 5¹ × 659¹ × 661¹
LCM(6590,6610) = 4355990