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What is the Least Common Multiple of 11414 and 11434?

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 11414 and 11434 is 65253838.

LCM(11414,11434) = 65253838

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Least Common Multiple of 11414 and 11434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11414 and 11434, than apply into the LCM equation.

GCF(11414,11434) = 2
LCM(11414,11434) = ( 11414 × 11434) / 2
LCM(11414,11434) = 130507676 / 2
LCM(11414,11434) = 65253838

Least Common Multiple (LCM) of 11414 and 11434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11414 and 11434. First we will calculate the prime factors of 11414 and 11434.

Prime Factorization of 11414

Prime factors of 11414 are 2, 13, 439. Prime factorization of 11414 in exponential form is:

11414 = 21 × 131 × 4391

Prime Factorization of 11434

Prime factors of 11434 are 2, 5717. Prime factorization of 11434 in exponential form is:

11434 = 21 × 57171

Now multiplying the highest exponent prime factors to calculate the LCM of 11414 and 11434.

LCM(11414,11434) = 21 × 131 × 4391 × 57171
LCM(11414,11434) = 65253838