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What is the Least Common Multiple of 25089 and 25106?

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 25106 is 629884434.

LCM(25089,25106) = 629884434

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Least Common Multiple of 25089 and 25106 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 25106, than apply into the LCM equation.

GCF(25089,25106) = 1
LCM(25089,25106) = ( 25089 × 25106) / 1
LCM(25089,25106) = 629884434 / 1
LCM(25089,25106) = 629884434

Least Common Multiple (LCM) of 25089 and 25106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25089 and 25106. First we will calculate the prime factors of 25089 and 25106.

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 25106

Prime factors of 25106 are 2, 12553. Prime factorization of 25106 in exponential form is:

25106 = 21 × 125531

Now multiplying the highest exponent prime factors to calculate the LCM of 25089 and 25106.

LCM(25089,25106) = 31 × 83631 × 21 × 125531
LCM(25089,25106) = 629884434