What is the Least Common Multiple of 41829 and 41848?

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 41829 and 41848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41829 and 41848, than apply into the LCM equation.

GCF(41829,41848) = 1
LCM(41829,41848) = ( 41829 × 41848) / 1
LCM(41829,41848) = 1750459992 / 1
LCM(41829,41848) = 1750459992

Least Common Multiple (LCM) of 41829 and 41848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41829 and 41848. First we will calculate the prime factors of 41829 and 41848.

Prime Factorization of 41829

Prime Factorization of 41848

Now multiplying the highest exponent prime factors to calculate the LCM of 41829 and 41848.

LCM(41829,41848) = 3¹ × 73¹ × 191¹ × 2³ × 5231¹
LCM(41829,41848) = 1750459992