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What is the Least Common Multiple of 11402 and 11414?

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 11402 and 11414 is 65071214.

LCM(11402,11414) = 65071214

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Least Common Multiple of 11402 and 11414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11402 and 11414, than apply into the LCM equation.

GCF(11402,11414) = 2
LCM(11402,11414) = ( 11402 × 11414) / 2
LCM(11402,11414) = 130142428 / 2
LCM(11402,11414) = 65071214

Least Common Multiple (LCM) of 11402 and 11414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11402 and 11414. First we will calculate the prime factors of 11402 and 11414.

Prime Factorization of 11402

Prime factors of 11402 are 2, 5701. Prime factorization of 11402 in exponential form is:

11402 = 21 × 57011

Prime Factorization of 11414

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

11414 = 21 × 131 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 11402 and 11414.

LCM(11402,11414) = 21 × 57011 × 131 × 4391
LCM(11402,11414) = 65071214