What is the Least Common Multiple of 27296 and 27301?

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 27296 and 27301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27296 and 27301, than apply into the LCM equation.

GCF(27296,27301) = 1
LCM(27296,27301) = ( 27296 × 27301) / 1
LCM(27296,27301) = 745208096 / 1
LCM(27296,27301) = 745208096

Least Common Multiple (LCM) of 27296 and 27301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27296 and 27301. First we will calculate the prime factors of 27296 and 27301.

Prime Factorization of 27296

Prime Factorization of 27301

Now multiplying the highest exponent prime factors to calculate the LCM of 27296 and 27301.

LCM(27296,27301) = 2⁵ × 853¹ × 23¹ × 1187¹
LCM(27296,27301) = 745208096