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What is the Least Common Multiple of 13940 and 13949?

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 13940 and 13949 is 194449060.

LCM(13940,13949) = 194449060

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Least Common Multiple of 13940 and 13949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13940 and 13949, than apply into the LCM equation.

GCF(13940,13949) = 1
LCM(13940,13949) = ( 13940 × 13949) / 1
LCM(13940,13949) = 194449060 / 1
LCM(13940,13949) = 194449060

Least Common Multiple (LCM) of 13940 and 13949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13940 and 13949. First we will calculate the prime factors of 13940 and 13949.

Prime Factorization of 13940

Prime factors of 13940 are 2, 5, 17, 41. Prime factorization of 13940 in exponential form is:

13940 = 22 × 51 × 171 × 411

Prime Factorization of 13949

Prime factors of 13949 are 13, 29, 37. Prime factorization of 13949 in exponential form is:

13949 = 131 × 291 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 13940 and 13949.

LCM(13940,13949) = 22 × 51 × 171 × 411 × 131 × 291 × 371
LCM(13940,13949) = 194449060