What is the Least Common Multiple of 7114 and 7118?

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 7114 and 7118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7114 and 7118, than apply into the LCM equation.

GCF(7114,7118) = 2
LCM(7114,7118) = ( 7114 × 7118) / 2
LCM(7114,7118) = 50637452 / 2
LCM(7114,7118) = 25318726

Least Common Multiple (LCM) of 7114 and 7118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7114 and 7118. First we will calculate the prime factors of 7114 and 7118.

Prime Factorization of 7114

Prime Factorization of 7118

Now multiplying the highest exponent prime factors to calculate the LCM of 7114 and 7118.

LCM(7114,7118) = 2¹ × 3557¹ × 3559¹
LCM(7114,7118) = 25318726