What is the Least Common Multiple of 58795 and 58805?

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 58795 and 58805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58795 and 58805, than apply into the LCM equation.

GCF(58795,58805) = 5
LCM(58795,58805) = ( 58795 × 58805) / 5
LCM(58795,58805) = 3457439975 / 5
LCM(58795,58805) = 691487995

Least Common Multiple (LCM) of 58795 and 58805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58795 and 58805. First we will calculate the prime factors of 58795 and 58805.

Prime Factorization of 58795

Prime Factorization of 58805

Now multiplying the highest exponent prime factors to calculate the LCM of 58795 and 58805.

LCM(58795,58805) = 5¹ × 11¹ × 1069¹ × 19¹ × 619¹
LCM(58795,58805) = 691487995