GCF and LCM Calculator Logo

What is the Least Common Multiple of 1310 and 1325?

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 1310 and 1325 is 347150.

LCM(1310,1325) = 347150

LCM Calculator and
and

Least Common Multiple of 1310 and 1325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1310 and 1325, than apply into the LCM equation.

GCF(1310,1325) = 5
LCM(1310,1325) = ( 1310 × 1325) / 5
LCM(1310,1325) = 1735750 / 5
LCM(1310,1325) = 347150

Least Common Multiple (LCM) of 1310 and 1325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1310 and 1325. First we will calculate the prime factors of 1310 and 1325.

Prime Factorization of 1310

Prime factors of 1310 are 2, 5, 131. Prime factorization of 1310 in exponential form is:

1310 = 21 × 51 × 1311

Prime Factorization of 1325

Prime factors of 1325 are 5, 53. Prime factorization of 1325 in exponential form is:

1325 = 52 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 1310 and 1325.

LCM(1310,1325) = 21 × 52 × 1311 × 531
LCM(1310,1325) = 347150