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What is the Least Common Multiple of 13614 and 13620?

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 13614 and 13620 is 30903780.

LCM(13614,13620) = 30903780

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Least Common Multiple of 13614 and 13620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13614 and 13620, than apply into the LCM equation.

GCF(13614,13620) = 6
LCM(13614,13620) = ( 13614 × 13620) / 6
LCM(13614,13620) = 185422680 / 6
LCM(13614,13620) = 30903780

Least Common Multiple (LCM) of 13614 and 13620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13614 and 13620. First we will calculate the prime factors of 13614 and 13620.

Prime Factorization of 13614

Prime factors of 13614 are 2, 3, 2269. Prime factorization of 13614 in exponential form is:

13614 = 21 × 31 × 22691

Prime Factorization of 13620

Prime factors of 13620 are 2, 3, 5, 227. Prime factorization of 13620 in exponential form is:

13620 = 22 × 31 × 51 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 13614 and 13620.

LCM(13614,13620) = 22 × 31 × 22691 × 51 × 2271
LCM(13614,13620) = 30903780