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What is the Least Common Multiple of 11777 and 11792?

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 11777 and 11792 is 138874384.

LCM(11777,11792) = 138874384

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Least Common Multiple of 11777 and 11792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11777 and 11792, than apply into the LCM equation.

GCF(11777,11792) = 1
LCM(11777,11792) = ( 11777 × 11792) / 1
LCM(11777,11792) = 138874384 / 1
LCM(11777,11792) = 138874384

Least Common Multiple (LCM) of 11777 and 11792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11777 and 11792. First we will calculate the prime factors of 11777 and 11792.

Prime Factorization of 11777

Prime factors of 11777 are 11777. Prime factorization of 11777 in exponential form is:

11777 = 117771

Prime Factorization of 11792

Prime factors of 11792 are 2, 11, 67. Prime factorization of 11792 in exponential form is:

11792 = 24 × 111 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 11777 and 11792.

LCM(11777,11792) = 117771 × 24 × 111 × 671
LCM(11777,11792) = 138874384