GCF and LCM Calculator Logo

What is the Least Common Multiple of 5303 and 5310?

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 5303 and 5310 is 28158930.

LCM(5303,5310) = 28158930

LCM Calculator and
and

Least Common Multiple of 5303 and 5310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5303 and 5310, than apply into the LCM equation.

GCF(5303,5310) = 1
LCM(5303,5310) = ( 5303 × 5310) / 1
LCM(5303,5310) = 28158930 / 1
LCM(5303,5310) = 28158930

Least Common Multiple (LCM) of 5303 and 5310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5303 and 5310. First we will calculate the prime factors of 5303 and 5310.

Prime Factorization of 5303

Prime factors of 5303 are 5303. Prime factorization of 5303 in exponential form is:

5303 = 53031

Prime Factorization of 5310

Prime factors of 5310 are 2, 3, 5, 59. Prime factorization of 5310 in exponential form is:

5310 = 21 × 32 × 51 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 5303 and 5310.

LCM(5303,5310) = 53031 × 21 × 32 × 51 × 591
LCM(5303,5310) = 28158930