What is the Least Common Multiple of 63798 and 63805?

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 of 63798 and 63805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63798 and 63805, than apply into the LCM equation.

GCF(63798,63805) = 7
LCM(63798,63805) = ( 63798 × 63805) / 7
LCM(63798,63805) = 4070631390 / 7
LCM(63798,63805) = 581518770

Least Common Multiple (LCM) of 63798 and 63805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63798 and 63805. First we will calculate the prime factors of 63798 and 63805.

Prime Factorization of 63798

Prime Factorization of 63805

Now multiplying the highest exponent prime factors to calculate the LCM of 63798 and 63805.

LCM(63798,63805) = 2¹ × 3¹ × 7³ × 31¹ × 5¹ × 1823¹
LCM(63798,63805) = 581518770