What is the Least Common Multiple of 43344 and 43354?

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 43354 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 43354, than apply into the LCM equation.

GCF(43344,43354) = 2
LCM(43344,43354) = ( 43344 × 43354) / 2
LCM(43344,43354) = 1879135776 / 2
LCM(43344,43354) = 939567888

Least Common Multiple (LCM) of 43344 and 43354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43344 and 43354. First we will calculate the prime factors of 43344 and 43354.

Prime Factorization of 43344

Prime Factorization of 43354

Now multiplying the highest exponent prime factors to calculate the LCM of 43344 and 43354.

LCM(43344,43354) = 2⁴ × 3² × 7¹ × 43¹ × 53¹ × 409¹
LCM(43344,43354) = 939567888