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What is the Least Common Multiple of 5921 and 5931?

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 5921 and 5931 is 35117451.

LCM(5921,5931) = 35117451

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Least Common Multiple of 5921 and 5931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5921 and 5931, than apply into the LCM equation.

GCF(5921,5931) = 1
LCM(5921,5931) = ( 5921 × 5931) / 1
LCM(5921,5931) = 35117451 / 1
LCM(5921,5931) = 35117451

Least Common Multiple (LCM) of 5921 and 5931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5921 and 5931. First we will calculate the prime factors of 5921 and 5931.

Prime Factorization of 5921

Prime factors of 5921 are 31, 191. Prime factorization of 5921 in exponential form is:

5921 = 311 × 1911

Prime Factorization of 5931

Prime factors of 5931 are 3, 659. Prime factorization of 5931 in exponential form is:

5931 = 32 × 6591

Now multiplying the highest exponent prime factors to calculate the LCM of 5921 and 5931.

LCM(5921,5931) = 311 × 1911 × 32 × 6591
LCM(5921,5931) = 35117451