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What is the Least Common Multiple of 5941 and 5958?

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 5941 and 5958 is 35396478.

LCM(5941,5958) = 35396478

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Least Common Multiple of 5941 and 5958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5941 and 5958, than apply into the LCM equation.

GCF(5941,5958) = 1
LCM(5941,5958) = ( 5941 × 5958) / 1
LCM(5941,5958) = 35396478 / 1
LCM(5941,5958) = 35396478

Least Common Multiple (LCM) of 5941 and 5958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5941 and 5958. First we will calculate the prime factors of 5941 and 5958.

Prime Factorization of 5941

Prime factors of 5941 are 13, 457. Prime factorization of 5941 in exponential form is:

5941 = 131 × 4571

Prime Factorization of 5958

Prime factors of 5958 are 2, 3, 331. Prime factorization of 5958 in exponential form is:

5958 = 21 × 32 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 5941 and 5958.

LCM(5941,5958) = 131 × 4571 × 21 × 32 × 3311
LCM(5941,5958) = 35396478