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What is the Least Common Multiple of 11426 and 11444?

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 11426 and 11444 is 65379572.

LCM(11426,11444) = 65379572

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Least Common Multiple of 11426 and 11444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11426 and 11444, than apply into the LCM equation.

GCF(11426,11444) = 2
LCM(11426,11444) = ( 11426 × 11444) / 2
LCM(11426,11444) = 130759144 / 2
LCM(11426,11444) = 65379572

Least Common Multiple (LCM) of 11426 and 11444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11426 and 11444. First we will calculate the prime factors of 11426 and 11444.

Prime Factorization of 11426

Prime factors of 11426 are 2, 29, 197. Prime factorization of 11426 in exponential form is:

11426 = 21 × 291 × 1971

Prime Factorization of 11444

Prime factors of 11444 are 2, 2861. Prime factorization of 11444 in exponential form is:

11444 = 22 × 28611

Now multiplying the highest exponent prime factors to calculate the LCM of 11426 and 11444.

LCM(11426,11444) = 22 × 291 × 1971 × 28611
LCM(11426,11444) = 65379572