What is the Least Common Multiple of 47844 and 47853?

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 47844 and 47853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47844 and 47853, than apply into the LCM equation.

GCF(47844,47853) = 9
LCM(47844,47853) = ( 47844 × 47853) / 9
LCM(47844,47853) = 2289478932 / 9
LCM(47844,47853) = 254386548

Least Common Multiple (LCM) of 47844 and 47853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47844 and 47853. First we will calculate the prime factors of 47844 and 47853.

Prime Factorization of 47844

Prime Factorization of 47853

Now multiplying the highest exponent prime factors to calculate the LCM of 47844 and 47853.

LCM(47844,47853) = 2² × 3³ × 443¹ × 13¹ × 409¹
LCM(47844,47853) = 254386548