GCF and LCM Calculator Logo

What is the Least Common Multiple of 11291 and 11308?

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 11291 and 11308 is 127678628.

LCM(11291,11308) = 127678628

LCM Calculator and
and

Least Common Multiple of 11291 and 11308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11291 and 11308, than apply into the LCM equation.

GCF(11291,11308) = 1
LCM(11291,11308) = ( 11291 × 11308) / 1
LCM(11291,11308) = 127678628 / 1
LCM(11291,11308) = 127678628

Least Common Multiple (LCM) of 11291 and 11308 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11291 and 11308. First we will calculate the prime factors of 11291 and 11308.

Prime Factorization of 11291

Prime factors of 11291 are 7, 1613. Prime factorization of 11291 in exponential form is:

11291 = 71 × 16131

Prime Factorization of 11308

Prime factors of 11308 are 2, 11, 257. Prime factorization of 11308 in exponential form is:

11308 = 22 × 111 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 11291 and 11308.

LCM(11291,11308) = 71 × 16131 × 22 × 111 × 2571
LCM(11291,11308) = 127678628