GCF and LCM Calculator Logo

What is the Least Common Multiple of 1246 and 1256?

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 1246 and 1256 is 782488.

LCM(1246,1256) = 782488

LCM Calculator and
and

Least Common Multiple of 1246 and 1256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1246 and 1256, than apply into the LCM equation.

GCF(1246,1256) = 2
LCM(1246,1256) = ( 1246 × 1256) / 2
LCM(1246,1256) = 1564976 / 2
LCM(1246,1256) = 782488

Least Common Multiple (LCM) of 1246 and 1256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1246 and 1256. First we will calculate the prime factors of 1246 and 1256.

Prime Factorization of 1246

Prime factors of 1246 are 2, 7, 89. Prime factorization of 1246 in exponential form is:

1246 = 21 × 71 × 891

Prime Factorization of 1256

Prime factors of 1256 are 2, 157. Prime factorization of 1256 in exponential form is:

1256 = 23 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 1246 and 1256.

LCM(1246,1256) = 23 × 71 × 891 × 1571
LCM(1246,1256) = 782488