What is the Least Common Multiple of 47811 and 47829?

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 47811 and 47829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47811 and 47829, than apply into the LCM equation.

GCF(47811,47829) = 3
LCM(47811,47829) = ( 47811 × 47829) / 3
LCM(47811,47829) = 2286752319 / 3
LCM(47811,47829) = 762250773

Least Common Multiple (LCM) of 47811 and 47829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47811 and 47829. First we will calculate the prime factors of 47811 and 47829.

Prime Factorization of 47811

Prime Factorization of 47829

Now multiplying the highest exponent prime factors to calculate the LCM of 47811 and 47829.

LCM(47811,47829) = 3¹ × 15937¹ × 107¹ × 149¹
LCM(47811,47829) = 762250773