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What is the Least Common Multiple of 13046 and 13064?

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 13046 and 13064 is 85216472.

LCM(13046,13064) = 85216472

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Least Common Multiple of 13046 and 13064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13046 and 13064, than apply into the LCM equation.

GCF(13046,13064) = 2
LCM(13046,13064) = ( 13046 × 13064) / 2
LCM(13046,13064) = 170432944 / 2
LCM(13046,13064) = 85216472

Least Common Multiple (LCM) of 13046 and 13064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13046 and 13064. First we will calculate the prime factors of 13046 and 13064.

Prime Factorization of 13046

Prime factors of 13046 are 2, 11, 593. Prime factorization of 13046 in exponential form is:

13046 = 21 × 111 × 5931

Prime Factorization of 13064

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

13064 = 23 × 231 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 13046 and 13064.

LCM(13046,13064) = 23 × 111 × 5931 × 231 × 711
LCM(13046,13064) = 85216472