What is the Least Common Multiple of 40438 and 40449?

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 40438 and 40449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40438 and 40449, than apply into the LCM equation.

GCF(40438,40449) = 1
LCM(40438,40449) = ( 40438 × 40449) / 1
LCM(40438,40449) = 1635676662 / 1
LCM(40438,40449) = 1635676662

Least Common Multiple (LCM) of 40438 and 40449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40438 and 40449. First we will calculate the prime factors of 40438 and 40449.

Prime Factorization of 40438

Prime Factorization of 40449

Now multiplying the highest exponent prime factors to calculate the LCM of 40438 and 40449.

LCM(40438,40449) = 2¹ × 20219¹ × 3¹ × 97¹ × 139¹
LCM(40438,40449) = 1635676662