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What is the Least Common Multiple of 14411 and 14426?

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 14411 and 14426 is 207893086.

LCM(14411,14426) = 207893086

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Least Common Multiple of 14411 and 14426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14411 and 14426, than apply into the LCM equation.

GCF(14411,14426) = 1
LCM(14411,14426) = ( 14411 × 14426) / 1
LCM(14411,14426) = 207893086 / 1
LCM(14411,14426) = 207893086

Least Common Multiple (LCM) of 14411 and 14426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14411 and 14426. First we will calculate the prime factors of 14411 and 14426.

Prime Factorization of 14411

Prime factors of 14411 are 14411. Prime factorization of 14411 in exponential form is:

14411 = 144111

Prime Factorization of 14426

Prime factors of 14426 are 2, 7213. Prime factorization of 14426 in exponential form is:

14426 = 21 × 72131

Now multiplying the highest exponent prime factors to calculate the LCM of 14411 and 14426.

LCM(14411,14426) = 144111 × 21 × 72131
LCM(14411,14426) = 207893086