What is the Least Common Multiple of 47795 and 47805?

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 47795 and 47805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47795 and 47805, than apply into the LCM equation.

GCF(47795,47805) = 5
LCM(47795,47805) = ( 47795 × 47805) / 5
LCM(47795,47805) = 2284839975 / 5
LCM(47795,47805) = 456967995

Least Common Multiple (LCM) of 47795 and 47805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47795 and 47805. First we will calculate the prime factors of 47795 and 47805.

Prime Factorization of 47795

Prime Factorization of 47805

Now multiplying the highest exponent prime factors to calculate the LCM of 47795 and 47805.

LCM(47795,47805) = 5¹ × 11² × 79¹ × 3¹ × 3187¹
LCM(47795,47805) = 456967995