What is the Least Common Multiple of 62368 and 62383?

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 62368 and 62383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62368 and 62383, than apply into the LCM equation.

GCF(62368,62383) = 1
LCM(62368,62383) = ( 62368 × 62383) / 1
LCM(62368,62383) = 3890702944 / 1
LCM(62368,62383) = 3890702944

Least Common Multiple (LCM) of 62368 and 62383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62368 and 62383. First we will calculate the prime factors of 62368 and 62383.

Prime Factorization of 62368

Prime Factorization of 62383

Now multiplying the highest exponent prime factors to calculate the LCM of 62368 and 62383.

LCM(62368,62383) = 2⁵ × 1949¹ × 62383¹
LCM(62368,62383) = 3890702944