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What is the Least Common Multiple of 13941 and 13947?

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 13941 and 13947 is 64811709.

LCM(13941,13947) = 64811709

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Least Common Multiple of 13941 and 13947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13941 and 13947, than apply into the LCM equation.

GCF(13941,13947) = 3
LCM(13941,13947) = ( 13941 × 13947) / 3
LCM(13941,13947) = 194435127 / 3
LCM(13941,13947) = 64811709

Least Common Multiple (LCM) of 13941 and 13947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13941 and 13947. First we will calculate the prime factors of 13941 and 13947.

Prime Factorization of 13941

Prime factors of 13941 are 3, 1549. Prime factorization of 13941 in exponential form is:

13941 = 32 × 15491

Prime Factorization of 13947

Prime factors of 13947 are 3, 4649. Prime factorization of 13947 in exponential form is:

13947 = 31 × 46491

Now multiplying the highest exponent prime factors to calculate the LCM of 13941 and 13947.

LCM(13941,13947) = 32 × 15491 × 46491
LCM(13941,13947) = 64811709