What is the Least Common Multiple of 47835 and 47844?

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 47835 and 47844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47835 and 47844, than apply into the LCM equation.

GCF(47835,47844) = 9
LCM(47835,47844) = ( 47835 × 47844) / 9
LCM(47835,47844) = 2288617740 / 9
LCM(47835,47844) = 254290860

Least Common Multiple (LCM) of 47835 and 47844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47835 and 47844. First we will calculate the prime factors of 47835 and 47844.

Prime Factorization of 47835

Prime Factorization of 47844

Now multiplying the highest exponent prime factors to calculate the LCM of 47835 and 47844.

LCM(47835,47844) = 3³ × 5¹ × 1063¹ × 2² × 443¹
LCM(47835,47844) = 254290860