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What is the Least Common Multiple of 11277 and 11292?

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 11277 and 11292 is 42446628.

LCM(11277,11292) = 42446628

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Least Common Multiple of 11277 and 11292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11277 and 11292, than apply into the LCM equation.

GCF(11277,11292) = 3
LCM(11277,11292) = ( 11277 × 11292) / 3
LCM(11277,11292) = 127339884 / 3
LCM(11277,11292) = 42446628

Least Common Multiple (LCM) of 11277 and 11292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11277 and 11292. First we will calculate the prime factors of 11277 and 11292.

Prime Factorization of 11277

Prime factors of 11277 are 3, 7, 179. Prime factorization of 11277 in exponential form is:

11277 = 32 × 71 × 1791

Prime Factorization of 11292

Prime factors of 11292 are 2, 3, 941. Prime factorization of 11292 in exponential form is:

11292 = 22 × 31 × 9411

Now multiplying the highest exponent prime factors to calculate the LCM of 11277 and 11292.

LCM(11277,11292) = 32 × 71 × 1791 × 22 × 9411
LCM(11277,11292) = 42446628