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What is the Least Common Multiple of 13949 and 13969?

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 13949 and 13969 is 194853581.

LCM(13949,13969) = 194853581

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Least Common Multiple of 13949 and 13969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13949 and 13969, than apply into the LCM equation.

GCF(13949,13969) = 1
LCM(13949,13969) = ( 13949 × 13969) / 1
LCM(13949,13969) = 194853581 / 1
LCM(13949,13969) = 194853581

Least Common Multiple (LCM) of 13949 and 13969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13949 and 13969. First we will calculate the prime factors of 13949 and 13969.

Prime Factorization of 13949

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

13949 = 131 × 291 × 371

Prime Factorization of 13969

Prime factors of 13969 are 61, 229. Prime factorization of 13969 in exponential form is:

13969 = 611 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 13949 and 13969.

LCM(13949,13969) = 131 × 291 × 371 × 611 × 2291
LCM(13949,13969) = 194853581