What is the Least Common Multiple of 62848 and 62857?

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 62857 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 62857, than apply into the LCM equation.

GCF(62848,62857) = 1
LCM(62848,62857) = ( 62848 × 62857) / 1
LCM(62848,62857) = 3950436736 / 1
LCM(62848,62857) = 3950436736

Least Common Multiple (LCM) of 62848 and 62857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62848 and 62857. First we will calculate the prime factors of 62848 and 62857.

Prime Factorization of 62848

Prime Factorization of 62857

Now multiplying the highest exponent prime factors to calculate the LCM of 62848 and 62857.

LCM(62848,62857) = 2⁷ × 491¹ × 239¹ × 263¹
LCM(62848,62857) = 3950436736