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What is the Least Common Multiple of 23330 and 23340?

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 (LCM) of 23330 and 23340 is 54452220.

LCM(23330,23340) = 54452220

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Least Common Multiple of 23330 and 23340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23330 and 23340, than apply into the LCM equation.

GCF(23330,23340) = 10
LCM(23330,23340) = ( 23330 × 23340) / 10
LCM(23330,23340) = 544522200 / 10
LCM(23330,23340) = 54452220

Least Common Multiple (LCM) of 23330 and 23340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23330 and 23340. First we will calculate the prime factors of 23330 and 23340.

Prime Factorization of 23330

Prime factors of 23330 are 2, 5, 2333. Prime factorization of 23330 in exponential form is:

23330 = 21 × 51 × 23331

Prime Factorization of 23340

Prime factors of 23340 are 2, 3, 5, 389. Prime factorization of 23340 in exponential form is:

23340 = 22 × 31 × 51 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 23330 and 23340.

LCM(23330,23340) = 22 × 51 × 23331 × 31 × 3891
LCM(23330,23340) = 54452220