What is the Least Common Multiple of 40140 and 40146?

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 40140 and 40146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40140 and 40146, than apply into the LCM equation.

GCF(40140,40146) = 6
LCM(40140,40146) = ( 40140 × 40146) / 6
LCM(40140,40146) = 1611460440 / 6
LCM(40140,40146) = 268576740

Least Common Multiple (LCM) of 40140 and 40146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40140 and 40146. First we will calculate the prime factors of 40140 and 40146.

Prime Factorization of 40140

Prime Factorization of 40146

Now multiplying the highest exponent prime factors to calculate the LCM of 40140 and 40146.

LCM(40140,40146) = 2² × 3² × 5¹ × 223¹ × 6691¹
LCM(40140,40146) = 268576740