GCF and LCM Calculator Logo

What is the Least Common Multiple of 58671 and 58684?

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 58671 and 58684 is 3443048964.

LCM(58671,58684) = 3443048964

LCM Calculator and
and

Least Common Multiple of 58671 and 58684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58671 and 58684, than apply into the LCM equation.

GCF(58671,58684) = 1
LCM(58671,58684) = ( 58671 × 58684) / 1
LCM(58671,58684) = 3443048964 / 1
LCM(58671,58684) = 3443048964

Least Common Multiple (LCM) of 58671 and 58684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58671 and 58684. First we will calculate the prime factors of 58671 and 58684.

Prime Factorization of 58671

Prime factors of 58671 are 3, 41, 53. Prime factorization of 58671 in exponential form is:

58671 = 33 × 411 × 531

Prime Factorization of 58684

Prime factors of 58684 are 2, 17, 863. Prime factorization of 58684 in exponential form is:

58684 = 22 × 171 × 8631

Now multiplying the highest exponent prime factors to calculate the LCM of 58671 and 58684.

LCM(58671,58684) = 33 × 411 × 531 × 22 × 171 × 8631
LCM(58671,58684) = 3443048964