What is the Least Common Multiple of 40342 and 40351?

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 40342 and 40351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40342 and 40351, than apply into the LCM equation.

GCF(40342,40351) = 1
LCM(40342,40351) = ( 40342 × 40351) / 1
LCM(40342,40351) = 1627840042 / 1
LCM(40342,40351) = 1627840042

Least Common Multiple (LCM) of 40342 and 40351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40342 and 40351. First we will calculate the prime factors of 40342 and 40351.

Prime Factorization of 40342

Prime Factorization of 40351

Now multiplying the highest exponent prime factors to calculate the LCM of 40342 and 40351.

LCM(40342,40351) = 2¹ × 23¹ × 877¹ × 40351¹
LCM(40342,40351) = 1627840042