GCF and LCM Calculator Logo

What is the Least Common Multiple of 1240 and 1255?

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 1240 and 1255 is 311240.

LCM(1240,1255) = 311240

LCM Calculator and
and

Least Common Multiple of 1240 and 1255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1240 and 1255, than apply into the LCM equation.

GCF(1240,1255) = 5
LCM(1240,1255) = ( 1240 × 1255) / 5
LCM(1240,1255) = 1556200 / 5
LCM(1240,1255) = 311240

Least Common Multiple (LCM) of 1240 and 1255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1240 and 1255. First we will calculate the prime factors of 1240 and 1255.

Prime Factorization of 1240

Prime factors of 1240 are 2, 5, 31. Prime factorization of 1240 in exponential form is:

1240 = 23 × 51 × 311

Prime Factorization of 1255

Prime factors of 1255 are 5, 251. Prime factorization of 1255 in exponential form is:

1255 = 51 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 1240 and 1255.

LCM(1240,1255) = 23 × 51 × 311 × 2511
LCM(1240,1255) = 311240