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What is the Least Common Multiple of 5850 and 5855?

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 5850 and 5855 is 6850350.

LCM(5850,5855) = 6850350

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Least Common Multiple of 5850 and 5855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5850 and 5855, than apply into the LCM equation.

GCF(5850,5855) = 5
LCM(5850,5855) = ( 5850 × 5855) / 5
LCM(5850,5855) = 34251750 / 5
LCM(5850,5855) = 6850350

Least Common Multiple (LCM) of 5850 and 5855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5850 and 5855. First we will calculate the prime factors of 5850 and 5855.

Prime Factorization of 5850

Prime factors of 5850 are 2, 3, 5, 13. Prime factorization of 5850 in exponential form is:

5850 = 21 × 32 × 52 × 131

Prime Factorization of 5855

Prime factors of 5855 are 5, 1171. Prime factorization of 5855 in exponential form is:

5855 = 51 × 11711

Now multiplying the highest exponent prime factors to calculate the LCM of 5850 and 5855.

LCM(5850,5855) = 21 × 32 × 52 × 131 × 11711
LCM(5850,5855) = 6850350