What is the Least Common Multiple of 27296 and 27314?

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 27314 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 27314, than apply into the LCM equation.

GCF(27296,27314) = 2
LCM(27296,27314) = ( 27296 × 27314) / 2
LCM(27296,27314) = 745562944 / 2
LCM(27296,27314) = 372781472

Least Common Multiple (LCM) of 27296 and 27314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27296 and 27314. First we will calculate the prime factors of 27296 and 27314.

Prime Factorization of 27296

Prime Factorization of 27314

Now multiplying the highest exponent prime factors to calculate the LCM of 27296 and 27314.

LCM(27296,27314) = 2⁵ × 853¹ × 7¹ × 1951¹
LCM(27296,27314) = 372781472