What is the Least Common Multiple of 38064 and 38069?

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 38064 and 38069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38064 and 38069, than apply into the LCM equation.

GCF(38064,38069) = 1
LCM(38064,38069) = ( 38064 × 38069) / 1
LCM(38064,38069) = 1449058416 / 1
LCM(38064,38069) = 1449058416

Least Common Multiple (LCM) of 38064 and 38069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38064 and 38069. First we will calculate the prime factors of 38064 and 38069.

Prime Factorization of 38064

Prime Factorization of 38069

Now multiplying the highest exponent prime factors to calculate the LCM of 38064 and 38069.

LCM(38064,38069) = 2⁴ × 3¹ × 13¹ × 61¹ × 38069¹
LCM(38064,38069) = 1449058416