What is the Least Common Multiple of 38048 and 38062?

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 38048 and 38062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38048 and 38062, than apply into the LCM equation.

GCF(38048,38062) = 2
LCM(38048,38062) = ( 38048 × 38062) / 2
LCM(38048,38062) = 1448182976 / 2
LCM(38048,38062) = 724091488

Least Common Multiple (LCM) of 38048 and 38062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38048 and 38062. First we will calculate the prime factors of 38048 and 38062.

Prime Factorization of 38048

Prime Factorization of 38062

Now multiplying the highest exponent prime factors to calculate the LCM of 38048 and 38062.

LCM(38048,38062) = 2⁵ × 29¹ × 41¹ × 19031¹
LCM(38048,38062) = 724091488