What is the Least Common Multiple of 47829 and 47848?

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 47829 and 47848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47829 and 47848, than apply into the LCM equation.

GCF(47829,47848) = 1
LCM(47829,47848) = ( 47829 × 47848) / 1
LCM(47829,47848) = 2288521992 / 1
LCM(47829,47848) = 2288521992

Least Common Multiple (LCM) of 47829 and 47848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47829 and 47848. First we will calculate the prime factors of 47829 and 47848.

Prime Factorization of 47829

Prime Factorization of 47848

Now multiplying the highest exponent prime factors to calculate the LCM of 47829 and 47848.

LCM(47829,47848) = 3¹ × 107¹ × 149¹ × 2³ × 5981¹
LCM(47829,47848) = 2288521992