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What is the Least Common Multiple of 13658 and 13677?

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 13658 and 13677 is 186800466.

LCM(13658,13677) = 186800466

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Least Common Multiple of 13658 and 13677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13658 and 13677, than apply into the LCM equation.

GCF(13658,13677) = 1
LCM(13658,13677) = ( 13658 × 13677) / 1
LCM(13658,13677) = 186800466 / 1
LCM(13658,13677) = 186800466

Least Common Multiple (LCM) of 13658 and 13677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13658 and 13677. First we will calculate the prime factors of 13658 and 13677.

Prime Factorization of 13658

Prime factors of 13658 are 2, 6829. Prime factorization of 13658 in exponential form is:

13658 = 21 × 68291

Prime Factorization of 13677

Prime factors of 13677 are 3, 47, 97. Prime factorization of 13677 in exponential form is:

13677 = 31 × 471 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 13658 and 13677.

LCM(13658,13677) = 21 × 68291 × 31 × 471 × 971
LCM(13658,13677) = 186800466