What is the Least Common Multiple of 27328 and 27341?

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 27341 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 27341, than apply into the LCM equation.

GCF(27328,27341) = 1
LCM(27328,27341) = ( 27328 × 27341) / 1
LCM(27328,27341) = 747174848 / 1
LCM(27328,27341) = 747174848

Least Common Multiple (LCM) of 27328 and 27341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27328 and 27341. First we will calculate the prime factors of 27328 and 27341.

Prime Factorization of 27328

Prime Factorization of 27341

Now multiplying the highest exponent prime factors to calculate the LCM of 27328 and 27341.

LCM(27328,27341) = 2⁶ × 7¹ × 61¹ × 19¹ × 1439¹
LCM(27328,27341) = 747174848