What is the Least Common Multiple of 23310 and 23330?

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 23330 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 23330, than apply into the LCM equation.

GCF(23310,23330) = 10
LCM(23310,23330) = ( 23310 × 23330) / 10
LCM(23310,23330) = 543822300 / 10
LCM(23310,23330) = 54382230

Least Common Multiple (LCM) of 23310 and 23330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23310 and 23330. First we will calculate the prime factors of 23310 and 23330.

Prime Factorization of 23310

Prime Factorization of 23330

Now multiplying the highest exponent prime factors to calculate the LCM of 23310 and 23330.

LCM(23310,23330) = 2¹ × 3² × 5¹ × 7¹ × 37¹ × 2333¹
LCM(23310,23330) = 54382230