What is the Least Common Multiple of 36423 and 36443?

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 36423 and 36443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36423 and 36443, than apply into the LCM equation.

GCF(36423,36443) = 1
LCM(36423,36443) = ( 36423 × 36443) / 1
LCM(36423,36443) = 1327363389 / 1
LCM(36423,36443) = 1327363389

Least Common Multiple (LCM) of 36423 and 36443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36423 and 36443. First we will calculate the prime factors of 36423 and 36443.

Prime Factorization of 36423

Prime Factorization of 36443

Now multiplying the highest exponent prime factors to calculate the LCM of 36423 and 36443.

LCM(36423,36443) = 3³ × 19¹ × 71¹ × 11¹ × 3313¹
LCM(36423,36443) = 1327363389