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What is the Least Common Multiple of 11420 and 11427?

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 11420 and 11427 is 130496340.

LCM(11420,11427) = 130496340

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Least Common Multiple of 11420 and 11427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11420 and 11427, than apply into the LCM equation.

GCF(11420,11427) = 1
LCM(11420,11427) = ( 11420 × 11427) / 1
LCM(11420,11427) = 130496340 / 1
LCM(11420,11427) = 130496340

Least Common Multiple (LCM) of 11420 and 11427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11420 and 11427. First we will calculate the prime factors of 11420 and 11427.

Prime Factorization of 11420

Prime factors of 11420 are 2, 5, 571. Prime factorization of 11420 in exponential form is:

11420 = 22 × 51 × 5711

Prime Factorization of 11427

Prime factors of 11427 are 3, 13, 293. Prime factorization of 11427 in exponential form is:

11427 = 31 × 131 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 11420 and 11427.

LCM(11420,11427) = 22 × 51 × 5711 × 31 × 131 × 2931
LCM(11420,11427) = 130496340