What is the Least Common Multiple of 28464 and 28468?

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 28468 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 28468, than apply into the LCM equation.

GCF(28464,28468) = 4
LCM(28464,28468) = ( 28464 × 28468) / 4
LCM(28464,28468) = 810313152 / 4
LCM(28464,28468) = 202578288

Least Common Multiple (LCM) of 28464 and 28468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28464 and 28468. First we will calculate the prime factors of 28464 and 28468.

Prime Factorization of 28464

Prime Factorization of 28468

Now multiplying the highest exponent prime factors to calculate the LCM of 28464 and 28468.

LCM(28464,28468) = 2⁴ × 3¹ × 593¹ × 11¹ × 647¹
LCM(28464,28468) = 202578288