What is the Least Common Multiple of 23475 and 23482?

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 23475 and 23482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23475 and 23482, than apply into the LCM equation.

GCF(23475,23482) = 1
LCM(23475,23482) = ( 23475 × 23482) / 1
LCM(23475,23482) = 551239950 / 1
LCM(23475,23482) = 551239950

Least Common Multiple (LCM) of 23475 and 23482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23475 and 23482. First we will calculate the prime factors of 23475 and 23482.

Prime Factorization of 23475

Prime Factorization of 23482

Now multiplying the highest exponent prime factors to calculate the LCM of 23475 and 23482.

LCM(23475,23482) = 3¹ × 5² × 313¹ × 2¹ × 59¹ × 199¹
LCM(23475,23482) = 551239950