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What is the Least Common Multiple of 13769 and 13776?

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 13769 and 13776 is 27097392.

LCM(13769,13776) = 27097392

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Least Common Multiple of 13769 and 13776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13769 and 13776, than apply into the LCM equation.

GCF(13769,13776) = 7
LCM(13769,13776) = ( 13769 × 13776) / 7
LCM(13769,13776) = 189681744 / 7
LCM(13769,13776) = 27097392

Least Common Multiple (LCM) of 13769 and 13776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13769 and 13776. First we will calculate the prime factors of 13769 and 13776.

Prime Factorization of 13769

Prime factors of 13769 are 7, 281. Prime factorization of 13769 in exponential form is:

13769 = 72 × 2811

Prime Factorization of 13776

Prime factors of 13776 are 2, 3, 7, 41. Prime factorization of 13776 in exponential form is:

13776 = 24 × 31 × 71 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 13769 and 13776.

LCM(13769,13776) = 72 × 2811 × 24 × 31 × 411
LCM(13769,13776) = 27097392