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What is the Least Common Multiple of 13947 and 13960?

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 13960 is 194700120.

LCM(13947,13960) = 194700120

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Least Common Multiple of 13947 and 13960 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 13960, than apply into the LCM equation.

GCF(13947,13960) = 1
LCM(13947,13960) = ( 13947 × 13960) / 1
LCM(13947,13960) = 194700120 / 1
LCM(13947,13960) = 194700120

Least Common Multiple (LCM) of 13947 and 13960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13947 and 13960. First we will calculate the prime factors of 13947 and 13960.

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 13960

Prime factors of 13960 are 2, 5, 349. Prime factorization of 13960 in exponential form is:

13960 = 23 × 51 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 13947 and 13960.

LCM(13947,13960) = 31 × 46491 × 23 × 51 × 3491
LCM(13947,13960) = 194700120