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What is the Least Common Multiple of 13300 and 13308?

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 13300 and 13308 is 44249100.

LCM(13300,13308) = 44249100

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Least Common Multiple of 13300 and 13308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13300 and 13308, than apply into the LCM equation.

GCF(13300,13308) = 4
LCM(13300,13308) = ( 13300 × 13308) / 4
LCM(13300,13308) = 176996400 / 4
LCM(13300,13308) = 44249100

Least Common Multiple (LCM) of 13300 and 13308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13300 and 13308. First we will calculate the prime factors of 13300 and 13308.

Prime Factorization of 13300

Prime factors of 13300 are 2, 5, 7, 19. Prime factorization of 13300 in exponential form is:

13300 = 22 × 52 × 71 × 191

Prime Factorization of 13308

Prime factors of 13308 are 2, 3, 1109. Prime factorization of 13308 in exponential form is:

13308 = 22 × 31 × 11091

Now multiplying the highest exponent prime factors to calculate the LCM of 13300 and 13308.

LCM(13300,13308) = 22 × 52 × 71 × 191 × 31 × 11091
LCM(13300,13308) = 44249100