What is the Least Common Multiple of 7116 and 7131?

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 7116 and 7131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7116 and 7131, than apply into the LCM equation.

GCF(7116,7131) = 3
LCM(7116,7131) = ( 7116 × 7131) / 3
LCM(7116,7131) = 50744196 / 3
LCM(7116,7131) = 16914732

Least Common Multiple (LCM) of 7116 and 7131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7116 and 7131. First we will calculate the prime factors of 7116 and 7131.

Prime Factorization of 7116

Prime Factorization of 7131

Now multiplying the highest exponent prime factors to calculate the LCM of 7116 and 7131.

LCM(7116,7131) = 2² × 3¹ × 593¹ × 2377¹
LCM(7116,7131) = 16914732