GCF and LCM Calculator Logo

What is the Least Common Multiple of 5120 and 5125?

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 5120 and 5125 is 5248000.

LCM(5120,5125) = 5248000

LCM Calculator and
and

Least Common Multiple of 5120 and 5125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5120 and 5125, than apply into the LCM equation.

GCF(5120,5125) = 5
LCM(5120,5125) = ( 5120 × 5125) / 5
LCM(5120,5125) = 26240000 / 5
LCM(5120,5125) = 5248000

Least Common Multiple (LCM) of 5120 and 5125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5120 and 5125. First we will calculate the prime factors of 5120 and 5125.

Prime Factorization of 5120

Prime factors of 5120 are 2, 5. Prime factorization of 5120 in exponential form is:

5120 = 210 × 51

Prime Factorization of 5125

Prime factors of 5125 are 5, 41. Prime factorization of 5125 in exponential form is:

5125 = 53 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 5120 and 5125.

LCM(5120,5125) = 210 × 53 × 411
LCM(5120,5125) = 5248000