What is the Least Common Multiple of 28320 and 28334?

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 28320 and 28334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28320 and 28334, than apply into the LCM equation.

GCF(28320,28334) = 2
LCM(28320,28334) = ( 28320 × 28334) / 2
LCM(28320,28334) = 802418880 / 2
LCM(28320,28334) = 401209440

Least Common Multiple (LCM) of 28320 and 28334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28320 and 28334. First we will calculate the prime factors of 28320 and 28334.

Prime Factorization of 28320

Prime Factorization of 28334

Now multiplying the highest exponent prime factors to calculate the LCM of 28320 and 28334.

LCM(28320,28334) = 2⁵ × 3¹ × 5¹ × 59¹ × 31¹ × 457¹
LCM(28320,28334) = 401209440