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What is the Least Common Multiple of 13626 and 13645?

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 13626 and 13645 is 185926770.

LCM(13626,13645) = 185926770

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Least Common Multiple of 13626 and 13645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13626 and 13645, than apply into the LCM equation.

GCF(13626,13645) = 1
LCM(13626,13645) = ( 13626 × 13645) / 1
LCM(13626,13645) = 185926770 / 1
LCM(13626,13645) = 185926770

Least Common Multiple (LCM) of 13626 and 13645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13626 and 13645. First we will calculate the prime factors of 13626 and 13645.

Prime Factorization of 13626

Prime factors of 13626 are 2, 3, 757. Prime factorization of 13626 in exponential form is:

13626 = 21 × 32 × 7571

Prime Factorization of 13645

Prime factors of 13645 are 5, 2729. Prime factorization of 13645 in exponential form is:

13645 = 51 × 27291

Now multiplying the highest exponent prime factors to calculate the LCM of 13626 and 13645.

LCM(13626,13645) = 21 × 32 × 7571 × 51 × 27291
LCM(13626,13645) = 185926770