What is the Least Common Multiple of 82826 and 82844?

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 82826 and 82844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82826 and 82844, than apply into the LCM equation.

GCF(82826,82844) = 2
LCM(82826,82844) = ( 82826 × 82844) / 2
LCM(82826,82844) = 6861637144 / 2
LCM(82826,82844) = 3430818572

Least Common Multiple (LCM) of 82826 and 82844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82826 and 82844. First we will calculate the prime factors of 82826 and 82844.

Prime Factorization of 82826

Prime Factorization of 82844

Now multiplying the highest exponent prime factors to calculate the LCM of 82826 and 82844.

LCM(82826,82844) = 2² × 41413¹ × 139¹ × 149¹
LCM(82826,82844) = 3430818572