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What is the Least Common Multiple of 13064 and 13078?

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 13078 is 85425496.

LCM(13064,13078) = 85425496

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Least Common Multiple of 13064 and 13078 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 13078, than apply into the LCM equation.

GCF(13064,13078) = 2
LCM(13064,13078) = ( 13064 × 13078) / 2
LCM(13064,13078) = 170850992 / 2
LCM(13064,13078) = 85425496

Least Common Multiple (LCM) of 13064 and 13078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13064 and 13078. First we will calculate the prime factors of 13064 and 13078.

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 13078

Prime factors of 13078 are 2, 13, 503. Prime factorization of 13078 in exponential form is:

13078 = 21 × 131 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 13064 and 13078.

LCM(13064,13078) = 23 × 231 × 711 × 131 × 5031
LCM(13064,13078) = 85425496