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What is the Least Common Multiple of 13777 and 13786?

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 13777 and 13786 is 189929722.

LCM(13777,13786) = 189929722

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Least Common Multiple of 13777 and 13786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13777 and 13786, than apply into the LCM equation.

GCF(13777,13786) = 1
LCM(13777,13786) = ( 13777 × 13786) / 1
LCM(13777,13786) = 189929722 / 1
LCM(13777,13786) = 189929722

Least Common Multiple (LCM) of 13777 and 13786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13777 and 13786. First we will calculate the prime factors of 13777 and 13786.

Prime Factorization of 13777

Prime factors of 13777 are 23, 599. Prime factorization of 13777 in exponential form is:

13777 = 231 × 5991

Prime Factorization of 13786

Prime factors of 13786 are 2, 61, 113. Prime factorization of 13786 in exponential form is:

13786 = 21 × 611 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 13777 and 13786.

LCM(13777,13786) = 231 × 5991 × 21 × 611 × 1131
LCM(13777,13786) = 189929722