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What is the Least Common Multiple of 11769 and 11787?

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 11769 and 11787 is 46240401.

LCM(11769,11787) = 46240401

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Least Common Multiple of 11769 and 11787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11769 and 11787, than apply into the LCM equation.

GCF(11769,11787) = 3
LCM(11769,11787) = ( 11769 × 11787) / 3
LCM(11769,11787) = 138721203 / 3
LCM(11769,11787) = 46240401

Least Common Multiple (LCM) of 11769 and 11787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11769 and 11787. First we will calculate the prime factors of 11769 and 11787.

Prime Factorization of 11769

Prime factors of 11769 are 3, 3923. Prime factorization of 11769 in exponential form is:

11769 = 31 × 39231

Prime Factorization of 11787

Prime factors of 11787 are 3, 3929. Prime factorization of 11787 in exponential form is:

11787 = 31 × 39291

Now multiplying the highest exponent prime factors to calculate the LCM of 11769 and 11787.

LCM(11769,11787) = 31 × 39231 × 39291
LCM(11769,11787) = 46240401