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What is the Least Common Multiple of 11411 and 11420?

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 11411 and 11420 is 130313620.

LCM(11411,11420) = 130313620

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Least Common Multiple of 11411 and 11420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11411 and 11420, than apply into the LCM equation.

GCF(11411,11420) = 1
LCM(11411,11420) = ( 11411 × 11420) / 1
LCM(11411,11420) = 130313620 / 1
LCM(11411,11420) = 130313620

Least Common Multiple (LCM) of 11411 and 11420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11411 and 11420. First we will calculate the prime factors of 11411 and 11420.

Prime Factorization of 11411

Prime factors of 11411 are 11411. Prime factorization of 11411 in exponential form is:

11411 = 114111

Prime Factorization of 11420

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

11420 = 22 × 51 × 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 11411 and 11420.

LCM(11411,11420) = 114111 × 22 × 51 × 5711
LCM(11411,11420) = 130313620