What is the Least Common Multiple of 28464 and 28469?

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 28464 and 28469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28464 and 28469, than apply into the LCM equation.

GCF(28464,28469) = 1
LCM(28464,28469) = ( 28464 × 28469) / 1
LCM(28464,28469) = 810341616 / 1
LCM(28464,28469) = 810341616

Least Common Multiple (LCM) of 28464 and 28469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28464 and 28469. First we will calculate the prime factors of 28464 and 28469.

Prime Factorization of 28464

Prime Factorization of 28469

Now multiplying the highest exponent prime factors to calculate the LCM of 28464 and 28469.

LCM(28464,28469) = 2⁴ × 3¹ × 593¹ × 7³ × 83¹
LCM(28464,28469) = 810341616