GCF and LCM Calculator Logo

What is the Least Common Multiple of 1298 and 1312?

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 1298 and 1312 is 851488.

LCM(1298,1312) = 851488

LCM Calculator and
and

Least Common Multiple of 1298 and 1312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1298 and 1312, than apply into the LCM equation.

GCF(1298,1312) = 2
LCM(1298,1312) = ( 1298 × 1312) / 2
LCM(1298,1312) = 1702976 / 2
LCM(1298,1312) = 851488

Least Common Multiple (LCM) of 1298 and 1312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1298 and 1312. First we will calculate the prime factors of 1298 and 1312.

Prime Factorization of 1298

Prime factors of 1298 are 2, 11, 59. Prime factorization of 1298 in exponential form is:

1298 = 21 × 111 × 591

Prime Factorization of 1312

Prime factors of 1312 are 2, 41. Prime factorization of 1312 in exponential form is:

1312 = 25 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 1298 and 1312.

LCM(1298,1312) = 25 × 111 × 591 × 411
LCM(1298,1312) = 851488