What is the Least Common Multiple of 23269 and 23275?

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 23269 and 23275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23269 and 23275, than apply into the LCM equation.

GCF(23269,23275) = 1
LCM(23269,23275) = ( 23269 × 23275) / 1
LCM(23269,23275) = 541585975 / 1
LCM(23269,23275) = 541585975

Least Common Multiple (LCM) of 23269 and 23275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23269 and 23275. First we will calculate the prime factors of 23269 and 23275.

Prime Factorization of 23269

Prime Factorization of 23275

Now multiplying the highest exponent prime factors to calculate the LCM of 23269 and 23275.

LCM(23269,23275) = 23269¹ × 5² × 7² × 19¹
LCM(23269,23275) = 541585975