What is the Least Common Multiple of 32317 and 32323?

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 32317 and 32323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32317 and 32323, than apply into the LCM equation.

GCF(32317,32323) = 1
LCM(32317,32323) = ( 32317 × 32323) / 1
LCM(32317,32323) = 1044582391 / 1
LCM(32317,32323) = 1044582391

Least Common Multiple (LCM) of 32317 and 32323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32317 and 32323. First we will calculate the prime factors of 32317 and 32323.

Prime Factorization of 32317

Prime Factorization of 32323

Now multiplying the highest exponent prime factors to calculate the LCM of 32317 and 32323.

LCM(32317,32323) = 17¹ × 1901¹ × 32323¹
LCM(32317,32323) = 1044582391