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What is the Least Common Multiple of 5954 and 5961?

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 5954 and 5961 is 35491794.

LCM(5954,5961) = 35491794

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Least Common Multiple of 5954 and 5961 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5954 and 5961, than apply into the LCM equation.

GCF(5954,5961) = 1
LCM(5954,5961) = ( 5954 × 5961) / 1
LCM(5954,5961) = 35491794 / 1
LCM(5954,5961) = 35491794

Least Common Multiple (LCM) of 5954 and 5961 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5954 and 5961. First we will calculate the prime factors of 5954 and 5961.

Prime Factorization of 5954

Prime factors of 5954 are 2, 13, 229. Prime factorization of 5954 in exponential form is:

5954 = 21 × 131 × 2291

Prime Factorization of 5961

Prime factors of 5961 are 3, 1987. Prime factorization of 5961 in exponential form is:

5961 = 31 × 19871

Now multiplying the highest exponent prime factors to calculate the LCM of 5954 and 5961.

LCM(5954,5961) = 21 × 131 × 2291 × 31 × 19871
LCM(5954,5961) = 35491794