What is the Least Common Multiple of 7109 and 7117?

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 7109 and 7117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7109 and 7117, than apply into the LCM equation.

GCF(7109,7117) = 1
LCM(7109,7117) = ( 7109 × 7117) / 1
LCM(7109,7117) = 50594753 / 1
LCM(7109,7117) = 50594753

Least Common Multiple (LCM) of 7109 and 7117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7109 and 7117. First we will calculate the prime factors of 7109 and 7117.

Prime Factorization of 7109

Prime Factorization of 7117

Now multiplying the highest exponent prime factors to calculate the LCM of 7109 and 7117.

LCM(7109,7117) = 7109¹ × 11¹ × 647¹
LCM(7109,7117) = 50594753