What is the Least Common Multiple of 43344 and 43351?

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 43351 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 43351, than apply into the LCM equation.

GCF(43344,43351) = 7
LCM(43344,43351) = ( 43344 × 43351) / 7
LCM(43344,43351) = 1879005744 / 7
LCM(43344,43351) = 268429392

Least Common Multiple (LCM) of 43344 and 43351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43344 and 43351. First we will calculate the prime factors of 43344 and 43351.

Prime Factorization of 43344

Prime Factorization of 43351

Now multiplying the highest exponent prime factors to calculate the LCM of 43344 and 43351.

LCM(43344,43351) = 2⁴ × 3² × 7¹ × 43¹ × 11¹ × 563¹
LCM(43344,43351) = 268429392