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What is the Least Common Multiple of 13134 and 13142?

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 13134 and 13142 is 86303514.

LCM(13134,13142) = 86303514

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Least Common Multiple of 13134 and 13142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13134 and 13142, than apply into the LCM equation.

GCF(13134,13142) = 2
LCM(13134,13142) = ( 13134 × 13142) / 2
LCM(13134,13142) = 172607028 / 2
LCM(13134,13142) = 86303514

Least Common Multiple (LCM) of 13134 and 13142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13134 and 13142. First we will calculate the prime factors of 13134 and 13142.

Prime Factorization of 13134

Prime factors of 13134 are 2, 3, 11, 199. Prime factorization of 13134 in exponential form is:

13134 = 21 × 31 × 111 × 1991

Prime Factorization of 13142

Prime factors of 13142 are 2, 6571. Prime factorization of 13142 in exponential form is:

13142 = 21 × 65711

Now multiplying the highest exponent prime factors to calculate the LCM of 13134 and 13142.

LCM(13134,13142) = 21 × 31 × 111 × 1991 × 65711
LCM(13134,13142) = 86303514