What is the Least Common Multiple of 6592 and 6611?

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 6592 and 6611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6592 and 6611, than apply into the LCM equation.

GCF(6592,6611) = 1
LCM(6592,6611) = ( 6592 × 6611) / 1
LCM(6592,6611) = 43579712 / 1
LCM(6592,6611) = 43579712

Least Common Multiple (LCM) of 6592 and 6611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6592 and 6611. First we will calculate the prime factors of 6592 and 6611.

Prime Factorization of 6592

Prime Factorization of 6611

Now multiplying the highest exponent prime factors to calculate the LCM of 6592 and 6611.

LCM(6592,6611) = 2⁶ × 103¹ × 11¹ × 601¹
LCM(6592,6611) = 43579712