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What is the Least Common Multiple of 13782 and 13787?

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 13782 and 13787 is 190012434.

LCM(13782,13787) = 190012434

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Least Common Multiple of 13782 and 13787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13782 and 13787, than apply into the LCM equation.

GCF(13782,13787) = 1
LCM(13782,13787) = ( 13782 × 13787) / 1
LCM(13782,13787) = 190012434 / 1
LCM(13782,13787) = 190012434

Least Common Multiple (LCM) of 13782 and 13787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13782 and 13787. First we will calculate the prime factors of 13782 and 13787.

Prime Factorization of 13782

Prime factors of 13782 are 2, 3, 2297. Prime factorization of 13782 in exponential form is:

13782 = 21 × 31 × 22971

Prime Factorization of 13787

Prime factors of 13787 are 17, 811. Prime factorization of 13787 in exponential form is:

13787 = 171 × 8111

Now multiplying the highest exponent prime factors to calculate the LCM of 13782 and 13787.

LCM(13782,13787) = 21 × 31 × 22971 × 171 × 8111
LCM(13782,13787) = 190012434