What is the Least Common Multiple of 22784 and 22791?

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 22784 and 22791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22784 and 22791, than apply into the LCM equation.

GCF(22784,22791) = 1
LCM(22784,22791) = ( 22784 × 22791) / 1
LCM(22784,22791) = 519270144 / 1
LCM(22784,22791) = 519270144

Least Common Multiple (LCM) of 22784 and 22791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22784 and 22791. First we will calculate the prime factors of 22784 and 22791.

Prime Factorization of 22784

Prime Factorization of 22791

Now multiplying the highest exponent prime factors to calculate the LCM of 22784 and 22791.

LCM(22784,22791) = 2⁸ × 89¹ × 3¹ × 71¹ × 107¹
LCM(22784,22791) = 519270144