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What is the Least Common Multiple of 25997 and 26002?

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 25997 and 26002 is 675973994.

LCM(25997,26002) = 675973994

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Least Common Multiple of 25997 and 26002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25997 and 26002, than apply into the LCM equation.

GCF(25997,26002) = 1
LCM(25997,26002) = ( 25997 × 26002) / 1
LCM(25997,26002) = 675973994 / 1
LCM(25997,26002) = 675973994

Least Common Multiple (LCM) of 25997 and 26002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25997 and 26002. First we will calculate the prime factors of 25997 and 26002.

Prime Factorization of 25997

Prime factors of 25997 are 25997. Prime factorization of 25997 in exponential form is:

25997 = 259971

Prime Factorization of 26002

Prime factors of 26002 are 2, 13001. Prime factorization of 26002 in exponential form is:

26002 = 21 × 130011

Now multiplying the highest exponent prime factors to calculate the LCM of 25997 and 26002.

LCM(25997,26002) = 259971 × 21 × 130011
LCM(25997,26002) = 675973994