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What is the Least Common Multiple of 13064 and 13075?

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 13064 and 13075 is 170811800.

LCM(13064,13075) = 170811800

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Least Common Multiple of 13064 and 13075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13064 and 13075, than apply into the LCM equation.

GCF(13064,13075) = 1
LCM(13064,13075) = ( 13064 × 13075) / 1
LCM(13064,13075) = 170811800 / 1
LCM(13064,13075) = 170811800

Least Common Multiple (LCM) of 13064 and 13075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13064 and 13075. First we will calculate the prime factors of 13064 and 13075.

Prime Factorization of 13064

Prime factors of 13064 are 2, 23, 71. Prime factorization of 13064 in exponential form is:

13064 = 23 × 231 × 711

Prime Factorization of 13075

Prime factors of 13075 are 5, 523. Prime factorization of 13075 in exponential form is:

13075 = 52 × 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 13064 and 13075.

LCM(13064,13075) = 23 × 231 × 711 × 52 × 5231
LCM(13064,13075) = 170811800