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What is the Least Common Multiple of 5931 and 5950?

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 5931 and 5950 is 35289450.

LCM(5931,5950) = 35289450

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Least Common Multiple of 5931 and 5950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5931 and 5950, than apply into the LCM equation.

GCF(5931,5950) = 1
LCM(5931,5950) = ( 5931 × 5950) / 1
LCM(5931,5950) = 35289450 / 1
LCM(5931,5950) = 35289450

Least Common Multiple (LCM) of 5931 and 5950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5931 and 5950. First we will calculate the prime factors of 5931 and 5950.

Prime Factorization of 5931

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

5931 = 32 × 6591

Prime Factorization of 5950

Prime factors of 5950 are 2, 5, 7, 17. Prime factorization of 5950 in exponential form is:

5950 = 21 × 52 × 71 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 5931 and 5950.

LCM(5931,5950) = 32 × 6591 × 21 × 52 × 71 × 171
LCM(5931,5950) = 35289450