What is the Least Common Multiple of 40349 and 40366?

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 40349 and 40366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40349 and 40366, than apply into the LCM equation.

GCF(40349,40366) = 1
LCM(40349,40366) = ( 40349 × 40366) / 1
LCM(40349,40366) = 1628727734 / 1
LCM(40349,40366) = 1628727734

Least Common Multiple (LCM) of 40349 and 40366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40349 and 40366. First we will calculate the prime factors of 40349 and 40366.

Prime Factorization of 40349

Prime Factorization of 40366

Now multiplying the highest exponent prime factors to calculate the LCM of 40349 and 40366.

LCM(40349,40366) = 157¹ × 257¹ × 2¹ × 20183¹
LCM(40349,40366) = 1628727734