What is the Least Common Multiple of 36828 and 36842?

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 36828 and 36842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36828 and 36842, than apply into the LCM equation.

GCF(36828,36842) = 2
LCM(36828,36842) = ( 36828 × 36842) / 2
LCM(36828,36842) = 1356817176 / 2
LCM(36828,36842) = 678408588

Least Common Multiple (LCM) of 36828 and 36842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36828 and 36842. First we will calculate the prime factors of 36828 and 36842.

Prime Factorization of 36828

Prime Factorization of 36842

Now multiplying the highest exponent prime factors to calculate the LCM of 36828 and 36842.

LCM(36828,36842) = 2² × 3³ × 11¹ × 31¹ × 13² × 109¹
LCM(36828,36842) = 678408588