GCF and LCM Calculator Logo

What is the Least Common Multiple of 5336 and 5355?

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 (LCM) of 5336 and 5355 is 28574280.

LCM(5336,5355) = 28574280

LCM Calculator and
and

Least Common Multiple of 5336 and 5355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5336 and 5355, than apply into the LCM equation.

GCF(5336,5355) = 1
LCM(5336,5355) = ( 5336 × 5355) / 1
LCM(5336,5355) = 28574280 / 1
LCM(5336,5355) = 28574280

Least Common Multiple (LCM) of 5336 and 5355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5336 and 5355. First we will calculate the prime factors of 5336 and 5355.

Prime Factorization of 5336

Prime factors of 5336 are 2, 23, 29. Prime factorization of 5336 in exponential form is:

5336 = 23 × 231 × 291

Prime Factorization of 5355

Prime factors of 5355 are 3, 5, 7, 17. Prime factorization of 5355 in exponential form is:

5355 = 32 × 51 × 71 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 5336 and 5355.

LCM(5336,5355) = 23 × 231 × 291 × 32 × 51 × 71 × 171
LCM(5336,5355) = 28574280