What is the Least Common Multiple of 23265 and 23280?

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 23265 and 23280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23265 and 23280, than apply into the LCM equation.

GCF(23265,23280) = 15
LCM(23265,23280) = ( 23265 × 23280) / 15
LCM(23265,23280) = 541609200 / 15
LCM(23265,23280) = 36107280

Least Common Multiple (LCM) of 23265 and 23280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23265 and 23280. First we will calculate the prime factors of 23265 and 23280.

Prime Factorization of 23265

Prime Factorization of 23280

Now multiplying the highest exponent prime factors to calculate the LCM of 23265 and 23280.

LCM(23265,23280) = 3² × 5¹ × 11¹ × 47¹ × 2⁴ × 97¹
LCM(23265,23280) = 36107280