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What is the Least Common Multiple of 13476 and 13491?

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 13476 and 13491 is 60601572.

LCM(13476,13491) = 60601572

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Least Common Multiple of 13476 and 13491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13476 and 13491, than apply into the LCM equation.

GCF(13476,13491) = 3
LCM(13476,13491) = ( 13476 × 13491) / 3
LCM(13476,13491) = 181804716 / 3
LCM(13476,13491) = 60601572

Least Common Multiple (LCM) of 13476 and 13491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13476 and 13491. First we will calculate the prime factors of 13476 and 13491.

Prime Factorization of 13476

Prime factors of 13476 are 2, 3, 1123. Prime factorization of 13476 in exponential form is:

13476 = 22 × 31 × 11231

Prime Factorization of 13491

Prime factors of 13491 are 3, 1499. Prime factorization of 13491 in exponential form is:

13491 = 32 × 14991

Now multiplying the highest exponent prime factors to calculate the LCM of 13476 and 13491.

LCM(13476,13491) = 22 × 32 × 11231 × 14991
LCM(13476,13491) = 60601572