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What is the Least Common Multiple of 25098 and 25110?

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 25098 and 25110 is 105035130.

LCM(25098,25110) = 105035130

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Least Common Multiple of 25098 and 25110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25098 and 25110, than apply into the LCM equation.

GCF(25098,25110) = 6
LCM(25098,25110) = ( 25098 × 25110) / 6
LCM(25098,25110) = 630210780 / 6
LCM(25098,25110) = 105035130

Least Common Multiple (LCM) of 25098 and 25110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25098 and 25110. First we will calculate the prime factors of 25098 and 25110.

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

Prime Factorization of 25110

Prime factors of 25110 are 2, 3, 5, 31. Prime factorization of 25110 in exponential form is:

25110 = 21 × 34 × 51 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 25098 and 25110.

LCM(25098,25110) = 21 × 34 × 471 × 891 × 51 × 311
LCM(25098,25110) = 105035130