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What is the Least Common Multiple of 13660 and 13671?

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 13660 and 13671 is 186745860.

LCM(13660,13671) = 186745860

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Least Common Multiple of 13660 and 13671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13660 and 13671, than apply into the LCM equation.

GCF(13660,13671) = 1
LCM(13660,13671) = ( 13660 × 13671) / 1
LCM(13660,13671) = 186745860 / 1
LCM(13660,13671) = 186745860

Least Common Multiple (LCM) of 13660 and 13671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13660 and 13671. First we will calculate the prime factors of 13660 and 13671.

Prime Factorization of 13660

Prime factors of 13660 are 2, 5, 683. Prime factorization of 13660 in exponential form is:

13660 = 22 × 51 × 6831

Prime Factorization of 13671

Prime factors of 13671 are 3, 7, 31. Prime factorization of 13671 in exponential form is:

13671 = 32 × 72 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 13660 and 13671.

LCM(13660,13671) = 22 × 51 × 6831 × 32 × 72 × 311
LCM(13660,13671) = 186745860