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What is the Least Common Multiple of 25326 and 25338?

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 25326 and 25338 is 106951698.

LCM(25326,25338) = 106951698

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Least Common Multiple of 25326 and 25338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25326 and 25338, than apply into the LCM equation.

GCF(25326,25338) = 6
LCM(25326,25338) = ( 25326 × 25338) / 6
LCM(25326,25338) = 641710188 / 6
LCM(25326,25338) = 106951698

Least Common Multiple (LCM) of 25326 and 25338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25326 and 25338. First we will calculate the prime factors of 25326 and 25338.

Prime Factorization of 25326

Prime factors of 25326 are 2, 3, 7, 67. Prime factorization of 25326 in exponential form is:

25326 = 21 × 33 × 71 × 671

Prime Factorization of 25338

Prime factors of 25338 are 2, 3, 41, 103. Prime factorization of 25338 in exponential form is:

25338 = 21 × 31 × 411 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 25326 and 25338.

LCM(25326,25338) = 21 × 33 × 71 × 671 × 411 × 1031
LCM(25326,25338) = 106951698