What is the Least Common Multiple of 28496 and 28509?

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 28496 and 28509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28496 and 28509, than apply into the LCM equation.

GCF(28496,28509) = 13
LCM(28496,28509) = ( 28496 × 28509) / 13
LCM(28496,28509) = 812392464 / 13
LCM(28496,28509) = 62491728

Least Common Multiple (LCM) of 28496 and 28509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28496 and 28509. First we will calculate the prime factors of 28496 and 28509.

Prime Factorization of 28496

Prime Factorization of 28509

Now multiplying the highest exponent prime factors to calculate the LCM of 28496 and 28509.

LCM(28496,28509) = 2⁴ × 13¹ × 137¹ × 3¹ × 17¹ × 43¹
LCM(28496,28509) = 62491728