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What is the Least Common Multiple of 26024 and 26039?

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 26024 and 26039 is 677638936.

LCM(26024,26039) = 677638936

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Least Common Multiple of 26024 and 26039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26024 and 26039, than apply into the LCM equation.

GCF(26024,26039) = 1
LCM(26024,26039) = ( 26024 × 26039) / 1
LCM(26024,26039) = 677638936 / 1
LCM(26024,26039) = 677638936

Least Common Multiple (LCM) of 26024 and 26039 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26024 and 26039. First we will calculate the prime factors of 26024 and 26039.

Prime Factorization of 26024

Prime factors of 26024 are 2, 3253. Prime factorization of 26024 in exponential form is:

26024 = 23 × 32531

Prime Factorization of 26039

Prime factors of 26039 are 13, 2003. Prime factorization of 26039 in exponential form is:

26039 = 131 × 20031

Now multiplying the highest exponent prime factors to calculate the LCM of 26024 and 26039.

LCM(26024,26039) = 23 × 32531 × 131 × 20031
LCM(26024,26039) = 677638936