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What is the Least Common Multiple of 13042 and 13056?

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 13042 and 13056 is 85138176.

LCM(13042,13056) = 85138176

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Least Common Multiple of 13042 and 13056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13042 and 13056, than apply into the LCM equation.

GCF(13042,13056) = 2
LCM(13042,13056) = ( 13042 × 13056) / 2
LCM(13042,13056) = 170276352 / 2
LCM(13042,13056) = 85138176

Least Common Multiple (LCM) of 13042 and 13056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13042 and 13056. First we will calculate the prime factors of 13042 and 13056.

Prime Factorization of 13042

Prime factors of 13042 are 2, 6521. Prime factorization of 13042 in exponential form is:

13042 = 21 × 65211

Prime Factorization of 13056

Prime factors of 13056 are 2, 3, 17. Prime factorization of 13056 in exponential form is:

13056 = 28 × 31 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 13042 and 13056.

LCM(13042,13056) = 28 × 65211 × 31 × 171
LCM(13042,13056) = 85138176