GCF and LCM Calculator Logo

What is the Least Common Multiple of 5835 and 5850?

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 5835 and 5850 is 2275650.

LCM(5835,5850) = 2275650

LCM Calculator and
and

Least Common Multiple of 5835 and 5850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5835 and 5850, than apply into the LCM equation.

GCF(5835,5850) = 15
LCM(5835,5850) = ( 5835 × 5850) / 15
LCM(5835,5850) = 34134750 / 15
LCM(5835,5850) = 2275650

Least Common Multiple (LCM) of 5835 and 5850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5835 and 5850. First we will calculate the prime factors of 5835 and 5850.

Prime Factorization of 5835

Prime factors of 5835 are 3, 5, 389. Prime factorization of 5835 in exponential form is:

5835 = 31 × 51 × 3891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5835 and 5850.

LCM(5835,5850) = 32 × 52 × 3891 × 21 × 131
LCM(5835,5850) = 2275650