What is the Least Common Multiple of 7146 and 7161?

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 7146 and 7161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7146 and 7161, than apply into the LCM equation.

GCF(7146,7161) = 3
LCM(7146,7161) = ( 7146 × 7161) / 3
LCM(7146,7161) = 51172506 / 3
LCM(7146,7161) = 17057502

Least Common Multiple (LCM) of 7146 and 7161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7146 and 7161. First we will calculate the prime factors of 7146 and 7161.

Prime Factorization of 7146

Prime Factorization of 7161

Now multiplying the highest exponent prime factors to calculate the LCM of 7146 and 7161.

LCM(7146,7161) = 2¹ × 3² × 397¹ × 7¹ × 11¹ × 31¹
LCM(7146,7161) = 17057502