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What is the Least Common Multiple of 11774 and 11782?

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 11774 and 11782 is 69360634.

LCM(11774,11782) = 69360634

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Least Common Multiple of 11774 and 11782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11774 and 11782, than apply into the LCM equation.

GCF(11774,11782) = 2
LCM(11774,11782) = ( 11774 × 11782) / 2
LCM(11774,11782) = 138721268 / 2
LCM(11774,11782) = 69360634

Least Common Multiple (LCM) of 11774 and 11782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11774 and 11782. First we will calculate the prime factors of 11774 and 11782.

Prime Factorization of 11774

Prime factors of 11774 are 2, 7, 29. Prime factorization of 11774 in exponential form is:

11774 = 21 × 71 × 292

Prime Factorization of 11782

Prime factors of 11782 are 2, 43, 137. Prime factorization of 11782 in exponential form is:

11782 = 21 × 431 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 11774 and 11782.

LCM(11774,11782) = 21 × 71 × 292 × 431 × 1371
LCM(11774,11782) = 69360634