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What is the Least Common Multiple of 13476 and 13483?

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 13476 and 13483 is 181696908.

LCM(13476,13483) = 181696908

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Least Common Multiple of 13476 and 13483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13476 and 13483, than apply into the LCM equation.

GCF(13476,13483) = 1
LCM(13476,13483) = ( 13476 × 13483) / 1
LCM(13476,13483) = 181696908 / 1
LCM(13476,13483) = 181696908

Least Common Multiple (LCM) of 13476 and 13483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13476 and 13483. First we will calculate the prime factors of 13476 and 13483.

Prime Factorization of 13476

Prime factors of 13476 are 2, 3, 1123. Prime factorization of 13476 in exponential form is:

13476 = 22 × 31 × 11231

Prime Factorization of 13483

Prime factors of 13483 are 97, 139. Prime factorization of 13483 in exponential form is:

13483 = 971 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 13476 and 13483.

LCM(13476,13483) = 22 × 31 × 11231 × 971 × 1391
LCM(13476,13483) = 181696908