What is the Least Common Multiple of 23310 and 23328?

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 23310 and 23328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23310 and 23328, than apply into the LCM equation.

GCF(23310,23328) = 18
LCM(23310,23328) = ( 23310 × 23328) / 18
LCM(23310,23328) = 543775680 / 18
LCM(23310,23328) = 30209760

Least Common Multiple (LCM) of 23310 and 23328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23310 and 23328. First we will calculate the prime factors of 23310 and 23328.

Prime Factorization of 23310

Prime Factorization of 23328

Now multiplying the highest exponent prime factors to calculate the LCM of 23310 and 23328.

LCM(23310,23328) = 2⁵ × 3⁶ × 5¹ × 7¹ × 37¹
LCM(23310,23328) = 30209760