What is the Least Common Multiple of 83844 and 83850?

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 83844 and 83850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83844 and 83850, than apply into the LCM equation.

GCF(83844,83850) = 6
LCM(83844,83850) = ( 83844 × 83850) / 6
LCM(83844,83850) = 7030319400 / 6
LCM(83844,83850) = 1171719900

Least Common Multiple (LCM) of 83844 and 83850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83844 and 83850. First we will calculate the prime factors of 83844 and 83850.

Prime Factorization of 83844

Prime Factorization of 83850

Now multiplying the highest exponent prime factors to calculate the LCM of 83844 and 83850.

LCM(83844,83850) = 2² × 3² × 17¹ × 137¹ × 5² × 13¹ × 43¹
LCM(83844,83850) = 1171719900