What is the Least Common Multiple of 28485 and 28496?

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 28485 and 28496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28485 and 28496, than apply into the LCM equation.

GCF(28485,28496) = 1
LCM(28485,28496) = ( 28485 × 28496) / 1
LCM(28485,28496) = 811708560 / 1
LCM(28485,28496) = 811708560

Least Common Multiple (LCM) of 28485 and 28496 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28485 and 28496. First we will calculate the prime factors of 28485 and 28496.

Prime Factorization of 28485

Prime Factorization of 28496

Now multiplying the highest exponent prime factors to calculate the LCM of 28485 and 28496.

LCM(28485,28496) = 3³ × 5¹ × 211¹ × 2⁴ × 13¹ × 137¹
LCM(28485,28496) = 811708560