What is the Least Common Multiple of 7146 and 7162?

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 7162 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 7162, than apply into the LCM equation.

GCF(7146,7162) = 2
LCM(7146,7162) = ( 7146 × 7162) / 2
LCM(7146,7162) = 51179652 / 2
LCM(7146,7162) = 25589826

Least Common Multiple (LCM) of 7146 and 7162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7146 and 7162. First we will calculate the prime factors of 7146 and 7162.

Prime Factorization of 7146

Prime Factorization of 7162

Now multiplying the highest exponent prime factors to calculate the LCM of 7146 and 7162.

LCM(7146,7162) = 2¹ × 3² × 397¹ × 3581¹
LCM(7146,7162) = 25589826