What is the Least Common Multiple of 43344 and 43358?

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 43344 and 43358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43344 and 43358, than apply into the LCM equation.

GCF(43344,43358) = 14
LCM(43344,43358) = ( 43344 × 43358) / 14
LCM(43344,43358) = 1879309152 / 14
LCM(43344,43358) = 134236368

Least Common Multiple (LCM) of 43344 and 43358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43344 and 43358. First we will calculate the prime factors of 43344 and 43358.

Prime Factorization of 43344

Prime Factorization of 43358

Now multiplying the highest exponent prime factors to calculate the LCM of 43344 and 43358.

LCM(43344,43358) = 2⁴ × 3² × 7¹ × 43¹ × 19¹ × 163¹
LCM(43344,43358) = 134236368