What is the Least Common Multiple of 23130 and 23145?

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 23130 and 23145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23130 and 23145, than apply into the LCM equation.

GCF(23130,23145) = 15
LCM(23130,23145) = ( 23130 × 23145) / 15
LCM(23130,23145) = 535343850 / 15
LCM(23130,23145) = 35689590

Least Common Multiple (LCM) of 23130 and 23145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23130 and 23145. First we will calculate the prime factors of 23130 and 23145.

Prime Factorization of 23130

Prime Factorization of 23145

Now multiplying the highest exponent prime factors to calculate the LCM of 23130 and 23145.

LCM(23130,23145) = 2¹ × 3² × 5¹ × 257¹ × 1543¹
LCM(23130,23145) = 35689590