What is the Least Common Multiple of 23075 and 23083?

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 23075 and 23083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23075 and 23083, than apply into the LCM equation.

GCF(23075,23083) = 1
LCM(23075,23083) = ( 23075 × 23083) / 1
LCM(23075,23083) = 532640225 / 1
LCM(23075,23083) = 532640225

Least Common Multiple (LCM) of 23075 and 23083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23075 and 23083. First we will calculate the prime factors of 23075 and 23083.

Prime Factorization of 23075

Prime Factorization of 23083

Now multiplying the highest exponent prime factors to calculate the LCM of 23075 and 23083.

LCM(23075,23083) = 5² × 13¹ × 71¹ × 41¹ × 563¹
LCM(23075,23083) = 532640225