What is the Least Common Multiple of 43368 and 43378?

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 43368 and 43378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43368 and 43378, than apply into the LCM equation.

GCF(43368,43378) = 2
LCM(43368,43378) = ( 43368 × 43378) / 2
LCM(43368,43378) = 1881217104 / 2
LCM(43368,43378) = 940608552

Least Common Multiple (LCM) of 43368 and 43378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43368 and 43378. First we will calculate the prime factors of 43368 and 43378.

Prime Factorization of 43368

Prime Factorization of 43378

Now multiplying the highest exponent prime factors to calculate the LCM of 43368 and 43378.

LCM(43368,43378) = 2³ × 3¹ × 13¹ × 139¹ × 23² × 41¹
LCM(43368,43378) = 940608552