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What is the Least Common Multiple of 13068 and 13086?

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 13068 and 13086 is 9500436.

LCM(13068,13086) = 9500436

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Least Common Multiple of 13068 and 13086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13068 and 13086, than apply into the LCM equation.

GCF(13068,13086) = 18
LCM(13068,13086) = ( 13068 × 13086) / 18
LCM(13068,13086) = 171007848 / 18
LCM(13068,13086) = 9500436

Least Common Multiple (LCM) of 13068 and 13086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13068 and 13086. First we will calculate the prime factors of 13068 and 13086.

Prime Factorization of 13068

Prime factors of 13068 are 2, 3, 11. Prime factorization of 13068 in exponential form is:

13068 = 22 × 33 × 112

Prime Factorization of 13086

Prime factors of 13086 are 2, 3, 727. Prime factorization of 13086 in exponential form is:

13086 = 21 × 32 × 7271

Now multiplying the highest exponent prime factors to calculate the LCM of 13068 and 13086.

LCM(13068,13086) = 22 × 33 × 112 × 7271
LCM(13068,13086) = 9500436