What is the Least Common Multiple of 27284 and 27296?

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 27284 and 27296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27284 and 27296, than apply into the LCM equation.

GCF(27284,27296) = 4
LCM(27284,27296) = ( 27284 × 27296) / 4
LCM(27284,27296) = 744744064 / 4
LCM(27284,27296) = 186186016

Least Common Multiple (LCM) of 27284 and 27296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27284 and 27296. First we will calculate the prime factors of 27284 and 27296.

Prime Factorization of 27284

Prime Factorization of 27296

Now multiplying the highest exponent prime factors to calculate the LCM of 27284 and 27296.

LCM(27284,27296) = 2⁵ × 19¹ × 359¹ × 853¹
LCM(27284,27296) = 186186016