What is the Least Common Multiple of 7798 and 7805?

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 7798 and 7805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7798 and 7805, than apply into the LCM equation.

GCF(7798,7805) = 7
LCM(7798,7805) = ( 7798 × 7805) / 7
LCM(7798,7805) = 60863390 / 7
LCM(7798,7805) = 8694770

Least Common Multiple (LCM) of 7798 and 7805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7798 and 7805. First we will calculate the prime factors of 7798 and 7805.

Prime Factorization of 7798

Prime Factorization of 7805

Now multiplying the highest exponent prime factors to calculate the LCM of 7798 and 7805.

LCM(7798,7805) = 2¹ × 7¹ × 557¹ × 5¹ × 223¹
LCM(7798,7805) = 8694770