What is the Least Common Multiple of 23457 and 23469?

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 23457 and 23469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23457 and 23469, than apply into the LCM equation.

GCF(23457,23469) = 3
LCM(23457,23469) = ( 23457 × 23469) / 3
LCM(23457,23469) = 550512333 / 3
LCM(23457,23469) = 183504111

Least Common Multiple (LCM) of 23457 and 23469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23457 and 23469. First we will calculate the prime factors of 23457 and 23469.

Prime Factorization of 23457

Prime Factorization of 23469

Now multiplying the highest exponent prime factors to calculate the LCM of 23457 and 23469.

LCM(23457,23469) = 3¹ × 7¹ × 1117¹ × 7823¹
LCM(23457,23469) = 183504111