What is the Least Common Multiple of 29844 and 29858?

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 29844 and 29858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29844 and 29858, than apply into the LCM equation.

GCF(29844,29858) = 2
LCM(29844,29858) = ( 29844 × 29858) / 2
LCM(29844,29858) = 891082152 / 2
LCM(29844,29858) = 445541076

Least Common Multiple (LCM) of 29844 and 29858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29844 and 29858. First we will calculate the prime factors of 29844 and 29858.

Prime Factorization of 29844

Prime Factorization of 29858

Now multiplying the highest exponent prime factors to calculate the LCM of 29844 and 29858.

LCM(29844,29858) = 2² × 3² × 829¹ × 14929¹
LCM(29844,29858) = 445541076