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What is the Least Common Multiple of 13961 and 13965?

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 13961 and 13965 is 194965365.

LCM(13961,13965) = 194965365

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Least Common Multiple of 13961 and 13965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13961 and 13965, than apply into the LCM equation.

GCF(13961,13965) = 1
LCM(13961,13965) = ( 13961 × 13965) / 1
LCM(13961,13965) = 194965365 / 1
LCM(13961,13965) = 194965365

Least Common Multiple (LCM) of 13961 and 13965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13961 and 13965. First we will calculate the prime factors of 13961 and 13965.

Prime Factorization of 13961

Prime factors of 13961 are 23, 607. Prime factorization of 13961 in exponential form is:

13961 = 231 × 6071

Prime Factorization of 13965

Prime factors of 13965 are 3, 5, 7, 19. Prime factorization of 13965 in exponential form is:

13965 = 31 × 51 × 72 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 13961 and 13965.

LCM(13961,13965) = 231 × 6071 × 31 × 51 × 72 × 191
LCM(13961,13965) = 194965365