GCF and LCM Calculator Logo

What is the Least Common Multiple of 62798 and 62805?

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 62798 and 62805 is 3944028390.

LCM(62798,62805) = 3944028390

LCM Calculator and
and

Least Common Multiple of 62798 and 62805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62798 and 62805, than apply into the LCM equation.

GCF(62798,62805) = 1
LCM(62798,62805) = ( 62798 × 62805) / 1
LCM(62798,62805) = 3944028390 / 1
LCM(62798,62805) = 3944028390

Least Common Multiple (LCM) of 62798 and 62805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62798 and 62805. First we will calculate the prime factors of 62798 and 62805.

Prime Factorization of 62798

Prime factors of 62798 are 2, 17, 1847. Prime factorization of 62798 in exponential form is:

62798 = 21 × 171 × 18471

Prime Factorization of 62805

Prime factors of 62805 are 3, 5, 53, 79. Prime factorization of 62805 in exponential form is:

62805 = 31 × 51 × 531 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 62798 and 62805.

LCM(62798,62805) = 21 × 171 × 18471 × 31 × 51 × 531 × 791
LCM(62798,62805) = 3944028390