What is the Least Common Multiple of 23174 and 23190?

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 23174 and 23190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23174 and 23190, than apply into the LCM equation.

GCF(23174,23190) = 2
LCM(23174,23190) = ( 23174 × 23190) / 2
LCM(23174,23190) = 537405060 / 2
LCM(23174,23190) = 268702530

Least Common Multiple (LCM) of 23174 and 23190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23174 and 23190. First we will calculate the prime factors of 23174 and 23190.

Prime Factorization of 23174

Prime Factorization of 23190

Now multiplying the highest exponent prime factors to calculate the LCM of 23174 and 23190.

LCM(23174,23190) = 2¹ × 11587¹ × 3¹ × 5¹ × 773¹
LCM(23174,23190) = 268702530