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What is the Least Common Multiple of 13641 and 13646?

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 13641 and 13646 is 186145086.

LCM(13641,13646) = 186145086

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Least Common Multiple of 13641 and 13646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13641 and 13646, than apply into the LCM equation.

GCF(13641,13646) = 1
LCM(13641,13646) = ( 13641 × 13646) / 1
LCM(13641,13646) = 186145086 / 1
LCM(13641,13646) = 186145086

Least Common Multiple (LCM) of 13641 and 13646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13641 and 13646. First we will calculate the prime factors of 13641 and 13646.

Prime Factorization of 13641

Prime factors of 13641 are 3, 4547. Prime factorization of 13641 in exponential form is:

13641 = 31 × 45471

Prime Factorization of 13646

Prime factors of 13646 are 2, 6823. Prime factorization of 13646 in exponential form is:

13646 = 21 × 68231

Now multiplying the highest exponent prime factors to calculate the LCM of 13641 and 13646.

LCM(13641,13646) = 31 × 45471 × 21 × 68231
LCM(13641,13646) = 186145086