What is the Least Common Multiple of 35844 and 35850?

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 35844 and 35850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35844 and 35850, than apply into the LCM equation.

GCF(35844,35850) = 6
LCM(35844,35850) = ( 35844 × 35850) / 6
LCM(35844,35850) = 1285007400 / 6
LCM(35844,35850) = 214167900

Least Common Multiple (LCM) of 35844 and 35850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35844 and 35850. First we will calculate the prime factors of 35844 and 35850.

Prime Factorization of 35844

Prime Factorization of 35850

Now multiplying the highest exponent prime factors to calculate the LCM of 35844 and 35850.

LCM(35844,35850) = 2² × 3¹ × 29¹ × 103¹ × 5² × 239¹
LCM(35844,35850) = 214167900