What is the Least Common Multiple of 62816 and 62829?

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 62816 and 62829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62816 and 62829, than apply into the LCM equation.

GCF(62816,62829) = 13
LCM(62816,62829) = ( 62816 × 62829) / 13
LCM(62816,62829) = 3946666464 / 13
LCM(62816,62829) = 303589728

Least Common Multiple (LCM) of 62816 and 62829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62816 and 62829. First we will calculate the prime factors of 62816 and 62829.

Prime Factorization of 62816

Prime Factorization of 62829

Now multiplying the highest exponent prime factors to calculate the LCM of 62816 and 62829.

LCM(62816,62829) = 2⁵ × 13¹ × 151¹ × 3³ × 179¹
LCM(62816,62829) = 303589728