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What is the Least Common Multiple of 13954 and 13971?

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 13954 and 13971 is 194951334.

LCM(13954,13971) = 194951334

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Least Common Multiple of 13954 and 13971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13954 and 13971, than apply into the LCM equation.

GCF(13954,13971) = 1
LCM(13954,13971) = ( 13954 × 13971) / 1
LCM(13954,13971) = 194951334 / 1
LCM(13954,13971) = 194951334

Least Common Multiple (LCM) of 13954 and 13971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13954 and 13971. First we will calculate the prime factors of 13954 and 13971.

Prime Factorization of 13954

Prime factors of 13954 are 2, 6977. Prime factorization of 13954 in exponential form is:

13954 = 21 × 69771

Prime Factorization of 13971

Prime factors of 13971 are 3, 4657. Prime factorization of 13971 in exponential form is:

13971 = 31 × 46571

Now multiplying the highest exponent prime factors to calculate the LCM of 13954 and 13971.

LCM(13954,13971) = 21 × 69771 × 31 × 46571
LCM(13954,13971) = 194951334