What is the Least Common Multiple of 28046 and 28064?

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 28046 and 28064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28046 and 28064, than apply into the LCM equation.

GCF(28046,28064) = 2
LCM(28046,28064) = ( 28046 × 28064) / 2
LCM(28046,28064) = 787082944 / 2
LCM(28046,28064) = 393541472

Least Common Multiple (LCM) of 28046 and 28064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28046 and 28064. First we will calculate the prime factors of 28046 and 28064.

Prime Factorization of 28046

Prime Factorization of 28064

Now multiplying the highest exponent prime factors to calculate the LCM of 28046 and 28064.

LCM(28046,28064) = 2⁵ × 37¹ × 379¹ × 877¹
LCM(28046,28064) = 393541472