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What is the Least Common Multiple of 25089 and 25098?

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 25089 and 25098 is 209894574.

LCM(25089,25098) = 209894574

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Least Common Multiple of 25089 and 25098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25089 and 25098, than apply into the LCM equation.

GCF(25089,25098) = 3
LCM(25089,25098) = ( 25089 × 25098) / 3
LCM(25089,25098) = 629683722 / 3
LCM(25089,25098) = 209894574

Least Common Multiple (LCM) of 25089 and 25098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25089 and 25098. First we will calculate the prime factors of 25089 and 25098.

Prime Factorization of 25089

Prime factors of 25089 are 3, 8363. Prime factorization of 25089 in exponential form is:

25089 = 31 × 83631

Prime Factorization of 25098

Prime factors of 25098 are 2, 3, 47, 89. Prime factorization of 25098 in exponential form is:

25098 = 21 × 31 × 471 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 25089 and 25098.

LCM(25089,25098) = 31 × 83631 × 21 × 471 × 891
LCM(25089,25098) = 209894574