GCF and LCM Calculator Logo

What is the Least Common Multiple of 5122 and 5128?

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 5122 and 5128 is 13132808.

LCM(5122,5128) = 13132808

LCM Calculator and
and

Least Common Multiple of 5122 and 5128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5122 and 5128, than apply into the LCM equation.

GCF(5122,5128) = 2
LCM(5122,5128) = ( 5122 × 5128) / 2
LCM(5122,5128) = 26265616 / 2
LCM(5122,5128) = 13132808

Least Common Multiple (LCM) of 5122 and 5128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5122 and 5128. First we will calculate the prime factors of 5122 and 5128.

Prime Factorization of 5122

Prime factors of 5122 are 2, 13, 197. Prime factorization of 5122 in exponential form is:

5122 = 21 × 131 × 1971

Prime Factorization of 5128

Prime factors of 5128 are 2, 641. Prime factorization of 5128 in exponential form is:

5128 = 23 × 6411

Now multiplying the highest exponent prime factors to calculate the LCM of 5122 and 5128.

LCM(5122,5128) = 23 × 131 × 1971 × 6411
LCM(5122,5128) = 13132808