What is the Least Common Multiple of 43378 and 43398?

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 43378 and 43398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43378 and 43398, than apply into the LCM equation.

GCF(43378,43398) = 2
LCM(43378,43398) = ( 43378 × 43398) / 2
LCM(43378,43398) = 1882518444 / 2
LCM(43378,43398) = 941259222

Least Common Multiple (LCM) of 43378 and 43398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43378 and 43398. First we will calculate the prime factors of 43378 and 43398.

Prime Factorization of 43378

Prime Factorization of 43398

Now multiplying the highest exponent prime factors to calculate the LCM of 43378 and 43398.

LCM(43378,43398) = 2¹ × 23² × 41¹ × 3² × 2411¹
LCM(43378,43398) = 941259222