What is the Least Common Multiple of 40430 and 40443?

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 40430 and 40443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40430 and 40443, than apply into the LCM equation.

GCF(40430,40443) = 13
LCM(40430,40443) = ( 40430 × 40443) / 13
LCM(40430,40443) = 1635110490 / 13
LCM(40430,40443) = 125777730

Least Common Multiple (LCM) of 40430 and 40443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40430 and 40443. First we will calculate the prime factors of 40430 and 40443.

Prime Factorization of 40430

Prime Factorization of 40443

Now multiplying the highest exponent prime factors to calculate the LCM of 40430 and 40443.

LCM(40430,40443) = 2¹ × 5¹ × 13¹ × 311¹ × 3¹ × 17¹ × 61¹
LCM(40430,40443) = 125777730