What is the Least Common Multiple of 40110 and 40122?

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 40110 and 40122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40110 and 40122, than apply into the LCM equation.

GCF(40110,40122) = 6
LCM(40110,40122) = ( 40110 × 40122) / 6
LCM(40110,40122) = 1609293420 / 6
LCM(40110,40122) = 268215570

Least Common Multiple (LCM) of 40110 and 40122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40110 and 40122. First we will calculate the prime factors of 40110 and 40122.

Prime Factorization of 40110

Prime Factorization of 40122

Now multiplying the highest exponent prime factors to calculate the LCM of 40110 and 40122.

LCM(40110,40122) = 2¹ × 3³ × 5¹ × 7¹ × 191¹ × 743¹
LCM(40110,40122) = 268215570