What is the Least Common Multiple of 28766 and 28784?

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 28766 and 28784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28766 and 28784, than apply into the LCM equation.

GCF(28766,28784) = 2
LCM(28766,28784) = ( 28766 × 28784) / 2
LCM(28766,28784) = 828000544 / 2
LCM(28766,28784) = 414000272

Least Common Multiple (LCM) of 28766 and 28784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28766 and 28784. First we will calculate the prime factors of 28766 and 28784.

Prime Factorization of 28766

Prime Factorization of 28784

Now multiplying the highest exponent prime factors to calculate the LCM of 28766 and 28784.

LCM(28766,28784) = 2⁴ × 19¹ × 757¹ × 7¹ × 257¹
LCM(28766,28784) = 414000272