What is the Least Common Multiple of 23145 and 23164?

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 23145 and 23164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23145 and 23164, than apply into the LCM equation.

GCF(23145,23164) = 1
LCM(23145,23164) = ( 23145 × 23164) / 1
LCM(23145,23164) = 536130780 / 1
LCM(23145,23164) = 536130780

Least Common Multiple (LCM) of 23145 and 23164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23145 and 23164. First we will calculate the prime factors of 23145 and 23164.

Prime Factorization of 23145

Prime Factorization of 23164

Now multiplying the highest exponent prime factors to calculate the LCM of 23145 and 23164.

LCM(23145,23164) = 3¹ × 5¹ × 1543¹ × 2² × 5791¹
LCM(23145,23164) = 536130780