What is the Least Common Multiple of 6617 and 6635?

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 6617 and 6635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6617 and 6635, than apply into the LCM equation.

GCF(6617,6635) = 1
LCM(6617,6635) = ( 6617 × 6635) / 1
LCM(6617,6635) = 43903795 / 1
LCM(6617,6635) = 43903795

Least Common Multiple (LCM) of 6617 and 6635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6617 and 6635. First we will calculate the prime factors of 6617 and 6635.

Prime Factorization of 6617

Prime Factorization of 6635

Now multiplying the highest exponent prime factors to calculate the LCM of 6617 and 6635.

LCM(6617,6635) = 13¹ × 509¹ × 5¹ × 1327¹
LCM(6617,6635) = 43903795