What is the Least Common Multiple of 82844 and 82850?

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 82844 and 82850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82844 and 82850, than apply into the LCM equation.

GCF(82844,82850) = 2
LCM(82844,82850) = ( 82844 × 82850) / 2
LCM(82844,82850) = 6863625400 / 2
LCM(82844,82850) = 3431812700

Least Common Multiple (LCM) of 82844 and 82850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82844 and 82850. First we will calculate the prime factors of 82844 and 82850.

Prime Factorization of 82844

Prime Factorization of 82850

Now multiplying the highest exponent prime factors to calculate the LCM of 82844 and 82850.

LCM(82844,82850) = 2² × 139¹ × 149¹ × 5² × 1657¹
LCM(82844,82850) = 3431812700