What is the Least Common Multiple of 62823 and 62828?

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 62823 and 62828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62823 and 62828, than apply into the LCM equation.

GCF(62823,62828) = 1
LCM(62823,62828) = ( 62823 × 62828) / 1
LCM(62823,62828) = 3947043444 / 1
LCM(62823,62828) = 3947043444

Least Common Multiple (LCM) of 62823 and 62828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62823 and 62828. First we will calculate the prime factors of 62823 and 62828.

Prime Factorization of 62823

Prime Factorization of 62828

Now multiplying the highest exponent prime factors to calculate the LCM of 62823 and 62828.

LCM(62823,62828) = 3¹ × 43¹ × 487¹ × 2² × 113¹ × 139¹
LCM(62823,62828) = 3947043444