GCF and LCM Calculator Logo

What is the Least Common Multiple of 10582 and 10590?

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 10582 and 10590 is 56031690.

LCM(10582,10590) = 56031690

LCM Calculator and
and

Least Common Multiple of 10582 and 10590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10582 and 10590, than apply into the LCM equation.

GCF(10582,10590) = 2
LCM(10582,10590) = ( 10582 × 10590) / 2
LCM(10582,10590) = 112063380 / 2
LCM(10582,10590) = 56031690

Least Common Multiple (LCM) of 10582 and 10590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10582 and 10590. First we will calculate the prime factors of 10582 and 10590.

Prime Factorization of 10582

Prime factors of 10582 are 2, 11, 13, 37. Prime factorization of 10582 in exponential form is:

10582 = 21 × 111 × 131 × 371

Prime Factorization of 10590

Prime factors of 10590 are 2, 3, 5, 353. Prime factorization of 10590 in exponential form is:

10590 = 21 × 31 × 51 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 10582 and 10590.

LCM(10582,10590) = 21 × 111 × 131 × 371 × 31 × 51 × 3531
LCM(10582,10590) = 56031690