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What is the Least Common Multiple of 13947 and 13967?

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 13947 and 13967 is 194797749.

LCM(13947,13967) = 194797749

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Least Common Multiple of 13947 and 13967 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13947 and 13967, than apply into the LCM equation.

GCF(13947,13967) = 1
LCM(13947,13967) = ( 13947 × 13967) / 1
LCM(13947,13967) = 194797749 / 1
LCM(13947,13967) = 194797749

Least Common Multiple (LCM) of 13947 and 13967 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13947 and 13967. First we will calculate the prime factors of 13947 and 13967.

Prime Factorization of 13947

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

13947 = 31 × 46491

Prime Factorization of 13967

Prime factors of 13967 are 13967. Prime factorization of 13967 in exponential form is:

13967 = 139671

Now multiplying the highest exponent prime factors to calculate the LCM of 13947 and 13967.

LCM(13947,13967) = 31 × 46491 × 139671
LCM(13947,13967) = 194797749