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What is the Least Common Multiple of 25603 and 25617?

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 25603 and 25617 is 655872051.

LCM(25603,25617) = 655872051

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Least Common Multiple of 25603 and 25617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25603 and 25617, than apply into the LCM equation.

GCF(25603,25617) = 1
LCM(25603,25617) = ( 25603 × 25617) / 1
LCM(25603,25617) = 655872051 / 1
LCM(25603,25617) = 655872051

Least Common Multiple (LCM) of 25603 and 25617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25603 and 25617. First we will calculate the prime factors of 25603 and 25617.

Prime Factorization of 25603

Prime factors of 25603 are 25603. Prime factorization of 25603 in exponential form is:

25603 = 256031

Prime Factorization of 25617

Prime factors of 25617 are 3, 8539. Prime factorization of 25617 in exponential form is:

25617 = 31 × 85391

Now multiplying the highest exponent prime factors to calculate the LCM of 25603 and 25617.

LCM(25603,25617) = 256031 × 31 × 85391
LCM(25603,25617) = 655872051