GCF and LCM Calculator Logo

What is the Least Common Multiple of 5880 and 5899?

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 5880 and 5899 is 34686120.

LCM(5880,5899) = 34686120

LCM Calculator and
and

Least Common Multiple of 5880 and 5899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5880 and 5899, than apply into the LCM equation.

GCF(5880,5899) = 1
LCM(5880,5899) = ( 5880 × 5899) / 1
LCM(5880,5899) = 34686120 / 1
LCM(5880,5899) = 34686120

Least Common Multiple (LCM) of 5880 and 5899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5880 and 5899. First we will calculate the prime factors of 5880 and 5899.

Prime Factorization of 5880

Prime factors of 5880 are 2, 3, 5, 7. Prime factorization of 5880 in exponential form is:

5880 = 23 × 31 × 51 × 72

Prime Factorization of 5899

Prime factors of 5899 are 17, 347. Prime factorization of 5899 in exponential form is:

5899 = 171 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 5880 and 5899.

LCM(5880,5899) = 23 × 31 × 51 × 72 × 171 × 3471
LCM(5880,5899) = 34686120