What is the Least Common Multiple of 43305 and 43317?

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 43305 and 43317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43305 and 43317, than apply into the LCM equation.

GCF(43305,43317) = 3
LCM(43305,43317) = ( 43305 × 43317) / 3
LCM(43305,43317) = 1875842685 / 3
LCM(43305,43317) = 625280895

Least Common Multiple (LCM) of 43305 and 43317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43305 and 43317. First we will calculate the prime factors of 43305 and 43317.

Prime Factorization of 43305

Prime Factorization of 43317

Now multiplying the highest exponent prime factors to calculate the LCM of 43305 and 43317.

LCM(43305,43317) = 3² × 5¹ × 2887¹ × 4813¹
LCM(43305,43317) = 625280895