What is the Least Common Multiple of 62826 and 62844?

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 62826 and 62844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62826 and 62844, than apply into the LCM equation.

GCF(62826,62844) = 6
LCM(62826,62844) = ( 62826 × 62844) / 6
LCM(62826,62844) = 3948237144 / 6
LCM(62826,62844) = 658039524

Least Common Multiple (LCM) of 62826 and 62844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62826 and 62844. First we will calculate the prime factors of 62826 and 62844.

Prime Factorization of 62826

Prime Factorization of 62844

Now multiplying the highest exponent prime factors to calculate the LCM of 62826 and 62844.

LCM(62826,62844) = 2² × 3¹ × 37¹ × 283¹ × 5237¹
LCM(62826,62844) = 658039524