What is the Least Common Multiple of 23275 and 23293?

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 23275 and 23293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23275 and 23293, than apply into the LCM equation.

GCF(23275,23293) = 1
LCM(23275,23293) = ( 23275 × 23293) / 1
LCM(23275,23293) = 542144575 / 1
LCM(23275,23293) = 542144575

Least Common Multiple (LCM) of 23275 and 23293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23275 and 23293. First we will calculate the prime factors of 23275 and 23293.

Prime Factorization of 23275

Prime Factorization of 23293

Now multiplying the highest exponent prime factors to calculate the LCM of 23275 and 23293.

LCM(23275,23293) = 5² × 7² × 19¹ × 23293¹
LCM(23275,23293) = 542144575