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What is the Least Common Multiple of 25977 and 25991?

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 25977 and 25991 is 96452601.

LCM(25977,25991) = 96452601

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Least Common Multiple of 25977 and 25991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25977 and 25991, than apply into the LCM equation.

GCF(25977,25991) = 7
LCM(25977,25991) = ( 25977 × 25991) / 7
LCM(25977,25991) = 675168207 / 7
LCM(25977,25991) = 96452601

Least Common Multiple (LCM) of 25977 and 25991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25977 and 25991. First we will calculate the prime factors of 25977 and 25991.

Prime Factorization of 25977

Prime factors of 25977 are 3, 7, 1237. Prime factorization of 25977 in exponential form is:

25977 = 31 × 71 × 12371

Prime Factorization of 25991

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

25991 = 71 × 471 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 25977 and 25991.

LCM(25977,25991) = 31 × 71 × 12371 × 471 × 791
LCM(25977,25991) = 96452601