What is the Least Common Multiple of 28240 and 28254?

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 28240 and 28254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28240 and 28254, than apply into the LCM equation.

GCF(28240,28254) = 2
LCM(28240,28254) = ( 28240 × 28254) / 2
LCM(28240,28254) = 797892960 / 2
LCM(28240,28254) = 398946480

Least Common Multiple (LCM) of 28240 and 28254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28240 and 28254. First we will calculate the prime factors of 28240 and 28254.

Prime Factorization of 28240

Prime Factorization of 28254

Now multiplying the highest exponent prime factors to calculate the LCM of 28240 and 28254.

LCM(28240,28254) = 2⁴ × 5¹ × 353¹ × 3¹ × 17¹ × 277¹
LCM(28240,28254) = 398946480