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What is the Least Common Multiple of 13957 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 13957 and 13965 is 194909505.

LCM(13957,13965) = 194909505

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Least Common Multiple of 13957 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 13957 and 13965, than apply into the LCM equation.

GCF(13957,13965) = 1
LCM(13957,13965) = ( 13957 × 13965) / 1
LCM(13957,13965) = 194909505 / 1
LCM(13957,13965) = 194909505

Least Common Multiple (LCM) of 13957 and 13965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13957 and 13965. First we will calculate the prime factors of 13957 and 13965.

Prime Factorization of 13957

Prime factors of 13957 are 17, 821. Prime factorization of 13957 in exponential form is:

13957 = 171 × 8211

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 13957 and 13965.

LCM(13957,13965) = 171 × 8211 × 31 × 51 × 72 × 191
LCM(13957,13965) = 194909505