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What is the Least Common Multiple of 13084 and 13100?

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 13084 and 13100 is 42850100.

LCM(13084,13100) = 42850100

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Least Common Multiple of 13084 and 13100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13084 and 13100, than apply into the LCM equation.

GCF(13084,13100) = 4
LCM(13084,13100) = ( 13084 × 13100) / 4
LCM(13084,13100) = 171400400 / 4
LCM(13084,13100) = 42850100

Least Common Multiple (LCM) of 13084 and 13100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13084 and 13100. First we will calculate the prime factors of 13084 and 13100.

Prime Factorization of 13084

Prime factors of 13084 are 2, 3271. Prime factorization of 13084 in exponential form is:

13084 = 22 × 32711

Prime Factorization of 13100

Prime factors of 13100 are 2, 5, 131. Prime factorization of 13100 in exponential form is:

13100 = 22 × 52 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 13084 and 13100.

LCM(13084,13100) = 22 × 32711 × 52 × 1311
LCM(13084,13100) = 42850100