What is the Least Common Multiple of 47853 and 47871?

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 47853 and 47871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47853 and 47871, than apply into the LCM equation.

GCF(47853,47871) = 9
LCM(47853,47871) = ( 47853 × 47871) / 9
LCM(47853,47871) = 2290770963 / 9
LCM(47853,47871) = 254530107

Least Common Multiple (LCM) of 47853 and 47871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47853 and 47871. First we will calculate the prime factors of 47853 and 47871.

Prime Factorization of 47853

Prime Factorization of 47871

Now multiplying the highest exponent prime factors to calculate the LCM of 47853 and 47871.

LCM(47853,47871) = 3⁵ × 13¹ × 409¹ × 197¹
LCM(47853,47871) = 254530107