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What is the Least Common Multiple of 11401 and 11411?

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 11401 and 11411 is 130096811.

LCM(11401,11411) = 130096811

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Least Common Multiple of 11401 and 11411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11401 and 11411, than apply into the LCM equation.

GCF(11401,11411) = 1
LCM(11401,11411) = ( 11401 × 11411) / 1
LCM(11401,11411) = 130096811 / 1
LCM(11401,11411) = 130096811

Least Common Multiple (LCM) of 11401 and 11411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11401 and 11411. First we will calculate the prime factors of 11401 and 11411.

Prime Factorization of 11401

Prime factors of 11401 are 13, 877. Prime factorization of 11401 in exponential form is:

11401 = 131 × 8771

Prime Factorization of 11411

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

11411 = 114111

Now multiplying the highest exponent prime factors to calculate the LCM of 11401 and 11411.

LCM(11401,11411) = 131 × 8771 × 114111
LCM(11401,11411) = 130096811