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What is the Least Common Multiple of 13510 and 13527?

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 13510 and 13527 is 182749770.

LCM(13510,13527) = 182749770

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Least Common Multiple of 13510 and 13527 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13510 and 13527, than apply into the LCM equation.

GCF(13510,13527) = 1
LCM(13510,13527) = ( 13510 × 13527) / 1
LCM(13510,13527) = 182749770 / 1
LCM(13510,13527) = 182749770

Least Common Multiple (LCM) of 13510 and 13527 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13510 and 13527. First we will calculate the prime factors of 13510 and 13527.

Prime Factorization of 13510

Prime factors of 13510 are 2, 5, 7, 193. Prime factorization of 13510 in exponential form is:

13510 = 21 × 51 × 71 × 1931

Prime Factorization of 13527

Prime factors of 13527 are 3, 167. Prime factorization of 13527 in exponential form is:

13527 = 34 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 13510 and 13527.

LCM(13510,13527) = 21 × 51 × 71 × 1931 × 34 × 1671
LCM(13510,13527) = 182749770