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What is the Least Common Multiple of 25982 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 25982 and 25991 is 675298162.

LCM(25982,25991) = 675298162

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Least Common Multiple of 25982 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 25982 and 25991, than apply into the LCM equation.

GCF(25982,25991) = 1
LCM(25982,25991) = ( 25982 × 25991) / 1
LCM(25982,25991) = 675298162 / 1
LCM(25982,25991) = 675298162

Least Common Multiple (LCM) of 25982 and 25991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25982 and 25991. First we will calculate the prime factors of 25982 and 25991.

Prime Factorization of 25982

Prime factors of 25982 are 2, 11, 1181. Prime factorization of 25982 in exponential form is:

25982 = 21 × 111 × 11811

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 25982 and 25991.

LCM(25982,25991) = 21 × 111 × 11811 × 71 × 471 × 791
LCM(25982,25991) = 675298162