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What is the Least Common Multiple of 13965 and 13973?

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 13965 and 13973 is 195132945.

LCM(13965,13973) = 195132945

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Least Common Multiple of 13965 and 13973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13965 and 13973, than apply into the LCM equation.

GCF(13965,13973) = 1
LCM(13965,13973) = ( 13965 × 13973) / 1
LCM(13965,13973) = 195132945 / 1
LCM(13965,13973) = 195132945

Least Common Multiple (LCM) of 13965 and 13973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13965 and 13973. First we will calculate the prime factors of 13965 and 13973.

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

Prime Factorization of 13973

Prime factors of 13973 are 89, 157. Prime factorization of 13973 in exponential form is:

13973 = 891 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 13965 and 13973.

LCM(13965,13973) = 31 × 51 × 72 × 191 × 891 × 1571
LCM(13965,13973) = 195132945