What is the Least Common Multiple of 43344 and 43349?

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 43349 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 43349, than apply into the LCM equation.

GCF(43344,43349) = 1
LCM(43344,43349) = ( 43344 × 43349) / 1
LCM(43344,43349) = 1878919056 / 1
LCM(43344,43349) = 1878919056

Least Common Multiple (LCM) of 43344 and 43349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43344 and 43349. First we will calculate the prime factors of 43344 and 43349.

Prime Factorization of 43344

Prime Factorization of 43349

Now multiplying the highest exponent prime factors to calculate the LCM of 43344 and 43349.

LCM(43344,43349) = 2⁴ × 3² × 7¹ × 43¹ × 67¹ × 647¹
LCM(43344,43349) = 1878919056