What is the Least Common Multiple of 62354 and 62368?

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 62354 and 62368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62354 and 62368, than apply into the LCM equation.

GCF(62354,62368) = 2
LCM(62354,62368) = ( 62354 × 62368) / 2
LCM(62354,62368) = 3888894272 / 2
LCM(62354,62368) = 1944447136

Least Common Multiple (LCM) of 62354 and 62368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62354 and 62368. First we will calculate the prime factors of 62354 and 62368.

Prime Factorization of 62354

Prime Factorization of 62368

Now multiplying the highest exponent prime factors to calculate the LCM of 62354 and 62368.

LCM(62354,62368) = 2⁵ × 31177¹ × 1949¹
LCM(62354,62368) = 1944447136