What is the Least Common Multiple of 27328 and 27338?

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 27328 and 27338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27328 and 27338, than apply into the LCM equation.

GCF(27328,27338) = 2
LCM(27328,27338) = ( 27328 × 27338) / 2
LCM(27328,27338) = 747092864 / 2
LCM(27328,27338) = 373546432

Least Common Multiple (LCM) of 27328 and 27338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27328 and 27338. First we will calculate the prime factors of 27328 and 27338.

Prime Factorization of 27328

Prime Factorization of 27338

Now multiplying the highest exponent prime factors to calculate the LCM of 27328 and 27338.

LCM(27328,27338) = 2⁶ × 7¹ × 61¹ × 13669¹
LCM(27328,27338) = 373546432