What is the Least Common Multiple of 43300 and 43306?

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 43300 and 43306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43300 and 43306, than apply into the LCM equation.

GCF(43300,43306) = 2
LCM(43300,43306) = ( 43300 × 43306) / 2
LCM(43300,43306) = 1875149800 / 2
LCM(43300,43306) = 937574900

Least Common Multiple (LCM) of 43300 and 43306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43300 and 43306. First we will calculate the prime factors of 43300 and 43306.

Prime Factorization of 43300

Prime Factorization of 43306

Now multiplying the highest exponent prime factors to calculate the LCM of 43300 and 43306.

LCM(43300,43306) = 2² × 5² × 433¹ × 59¹ × 367¹
LCM(43300,43306) = 937574900