What is the Least Common Multiple of 43378 and 43394?

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 43394 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 43394, than apply into the LCM equation.

GCF(43378,43394) = 2
LCM(43378,43394) = ( 43378 × 43394) / 2
LCM(43378,43394) = 1882344932 / 2
LCM(43378,43394) = 941172466

Least Common Multiple (LCM) of 43378 and 43394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43378 and 43394. First we will calculate the prime factors of 43378 and 43394.

Prime Factorization of 43378

Prime Factorization of 43394

Now multiplying the highest exponent prime factors to calculate the LCM of 43378 and 43394.

LCM(43378,43394) = 2¹ × 23² × 41¹ × 13¹ × 1669¹
LCM(43378,43394) = 941172466