GCF and LCM Calculator Logo

What is the Least Common Multiple of 5300 and 5308?

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 5300 and 5308 is 7033100.

LCM(5300,5308) = 7033100

LCM Calculator and
and

Least Common Multiple of 5300 and 5308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5300 and 5308, than apply into the LCM equation.

GCF(5300,5308) = 4
LCM(5300,5308) = ( 5300 × 5308) / 4
LCM(5300,5308) = 28132400 / 4
LCM(5300,5308) = 7033100

Least Common Multiple (LCM) of 5300 and 5308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5300 and 5308. First we will calculate the prime factors of 5300 and 5308.

Prime Factorization of 5300

Prime factors of 5300 are 2, 5, 53. Prime factorization of 5300 in exponential form is:

5300 = 22 × 52 × 531

Prime Factorization of 5308

Prime factors of 5308 are 2, 1327. Prime factorization of 5308 in exponential form is:

5308 = 22 × 13271

Now multiplying the highest exponent prime factors to calculate the LCM of 5300 and 5308.

LCM(5300,5308) = 22 × 52 × 531 × 13271
LCM(5300,5308) = 7033100