What is the Least Common Multiple of 62848 and 62858?

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 62848 and 62858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62848 and 62858, than apply into the LCM equation.

GCF(62848,62858) = 2
LCM(62848,62858) = ( 62848 × 62858) / 2
LCM(62848,62858) = 3950499584 / 2
LCM(62848,62858) = 1975249792

Least Common Multiple (LCM) of 62848 and 62858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62848 and 62858. First we will calculate the prime factors of 62848 and 62858.

Prime Factorization of 62848

Prime Factorization of 62858

Now multiplying the highest exponent prime factors to calculate the LCM of 62848 and 62858.

LCM(62848,62858) = 2⁷ × 491¹ × 53¹ × 593¹
LCM(62848,62858) = 1975249792