What is the Least Common Multiple of 28270 and 28288?

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 28270 and 28288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28270 and 28288, than apply into the LCM equation.

GCF(28270,28288) = 2
LCM(28270,28288) = ( 28270 × 28288) / 2
LCM(28270,28288) = 799701760 / 2
LCM(28270,28288) = 399850880

Least Common Multiple (LCM) of 28270 and 28288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28270 and 28288. First we will calculate the prime factors of 28270 and 28288.

Prime Factorization of 28270

Prime Factorization of 28288

Now multiplying the highest exponent prime factors to calculate the LCM of 28270 and 28288.

LCM(28270,28288) = 2⁷ × 5¹ × 11¹ × 257¹ × 13¹ × 17¹
LCM(28270,28288) = 399850880