What is the Least Common Multiple of 28264 and 28272?

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 28264 and 28272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28264 and 28272, than apply into the LCM equation.

GCF(28264,28272) = 8
LCM(28264,28272) = ( 28264 × 28272) / 8
LCM(28264,28272) = 799079808 / 8
LCM(28264,28272) = 99884976

Least Common Multiple (LCM) of 28264 and 28272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28264 and 28272. First we will calculate the prime factors of 28264 and 28272.

Prime Factorization of 28264

Prime Factorization of 28272

Now multiplying the highest exponent prime factors to calculate the LCM of 28264 and 28272.

LCM(28264,28272) = 2⁴ × 3533¹ × 3¹ × 19¹ × 31¹
LCM(28264,28272) = 99884976