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What is the Least Common Multiple of 5821 and 5831?

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 5821 and 5831 is 33942251.

LCM(5821,5831) = 33942251

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Least Common Multiple of 5821 and 5831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5821 and 5831, than apply into the LCM equation.

GCF(5821,5831) = 1
LCM(5821,5831) = ( 5821 × 5831) / 1
LCM(5821,5831) = 33942251 / 1
LCM(5821,5831) = 33942251

Least Common Multiple (LCM) of 5821 and 5831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5821 and 5831. First we will calculate the prime factors of 5821 and 5831.

Prime Factorization of 5821

Prime factors of 5821 are 5821. Prime factorization of 5821 in exponential form is:

5821 = 58211

Prime Factorization of 5831

Prime factors of 5831 are 7, 17. Prime factorization of 5831 in exponential form is:

5831 = 73 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 5821 and 5831.

LCM(5821,5831) = 58211 × 73 × 171
LCM(5821,5831) = 33942251