What is the Least Common Multiple of 43443 and 43461?

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 43443 and 43461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43443 and 43461, than apply into the LCM equation.

GCF(43443,43461) = 9
LCM(43443,43461) = ( 43443 × 43461) / 9
LCM(43443,43461) = 1888076223 / 9
LCM(43443,43461) = 209786247

Least Common Multiple (LCM) of 43443 and 43461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43443 and 43461. First we will calculate the prime factors of 43443 and 43461.

Prime Factorization of 43443

Prime Factorization of 43461

Now multiplying the highest exponent prime factors to calculate the LCM of 43443 and 43461.

LCM(43443,43461) = 3³ × 1609¹ × 11¹ × 439¹
LCM(43443,43461) = 209786247