What is the Least Common Multiple of 28064 and 28080?

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 28064 and 28080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28064 and 28080, than apply into the LCM equation.

GCF(28064,28080) = 16
LCM(28064,28080) = ( 28064 × 28080) / 16
LCM(28064,28080) = 788037120 / 16
LCM(28064,28080) = 49252320

Least Common Multiple (LCM) of 28064 and 28080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28064 and 28080. First we will calculate the prime factors of 28064 and 28080.

Prime Factorization of 28064

Prime Factorization of 28080

Now multiplying the highest exponent prime factors to calculate the LCM of 28064 and 28080.

LCM(28064,28080) = 2⁵ × 877¹ × 3³ × 5¹ × 13¹
LCM(28064,28080) = 49252320