What is the Least Common Multiple of 28224 and 28240?

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 28224 and 28240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28224 and 28240, than apply into the LCM equation.

GCF(28224,28240) = 16
LCM(28224,28240) = ( 28224 × 28240) / 16
LCM(28224,28240) = 797045760 / 16
LCM(28224,28240) = 49815360

Least Common Multiple (LCM) of 28224 and 28240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28224 and 28240. First we will calculate the prime factors of 28224 and 28240.

Prime Factorization of 28224

Prime Factorization of 28240

Now multiplying the highest exponent prime factors to calculate the LCM of 28224 and 28240.

LCM(28224,28240) = 2⁶ × 3² × 7² × 5¹ × 353¹
LCM(28224,28240) = 49815360