GCF and LCM Calculator Logo

What is the Least Common Multiple of 5103 and 5121?

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 5103 and 5121 is 2903607.

LCM(5103,5121) = 2903607

LCM Calculator and
and

Least Common Multiple of 5103 and 5121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5103 and 5121, than apply into the LCM equation.

GCF(5103,5121) = 9
LCM(5103,5121) = ( 5103 × 5121) / 9
LCM(5103,5121) = 26132463 / 9
LCM(5103,5121) = 2903607

Least Common Multiple (LCM) of 5103 and 5121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5103 and 5121. First we will calculate the prime factors of 5103 and 5121.

Prime Factorization of 5103

Prime factors of 5103 are 3, 7. Prime factorization of 5103 in exponential form is:

5103 = 36 × 71

Prime Factorization of 5121

Prime factors of 5121 are 3, 569. Prime factorization of 5121 in exponential form is:

5121 = 32 × 5691

Now multiplying the highest exponent prime factors to calculate the LCM of 5103 and 5121.

LCM(5103,5121) = 36 × 71 × 5691
LCM(5103,5121) = 2903607