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What is the Least Common Multiple of 25991 and 26008?

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 25991 and 26008 is 675973928.

LCM(25991,26008) = 675973928

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Least Common Multiple of 25991 and 26008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25991 and 26008, than apply into the LCM equation.

GCF(25991,26008) = 1
LCM(25991,26008) = ( 25991 × 26008) / 1
LCM(25991,26008) = 675973928 / 1
LCM(25991,26008) = 675973928

Least Common Multiple (LCM) of 25991 and 26008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25991 and 26008. First we will calculate the prime factors of 25991 and 26008.

Prime Factorization of 25991

Prime factors of 25991 are 7, 47, 79. Prime factorization of 25991 in exponential form is:

25991 = 71 × 471 × 791

Prime Factorization of 26008

Prime factors of 26008 are 2, 3251. Prime factorization of 26008 in exponential form is:

26008 = 23 × 32511

Now multiplying the highest exponent prime factors to calculate the LCM of 25991 and 26008.

LCM(25991,26008) = 71 × 471 × 791 × 23 × 32511
LCM(25991,26008) = 675973928