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What is the Least Common Multiple of 25592 and 25603?

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 25592 and 25603 is 655231976.

LCM(25592,25603) = 655231976

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Least Common Multiple of 25592 and 25603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25592 and 25603, than apply into the LCM equation.

GCF(25592,25603) = 1
LCM(25592,25603) = ( 25592 × 25603) / 1
LCM(25592,25603) = 655231976 / 1
LCM(25592,25603) = 655231976

Least Common Multiple (LCM) of 25592 and 25603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25592 and 25603. First we will calculate the prime factors of 25592 and 25603.

Prime Factorization of 25592

Prime factors of 25592 are 2, 7, 457. Prime factorization of 25592 in exponential form is:

25592 = 23 × 71 × 4571

Prime Factorization of 25603

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

25603 = 256031

Now multiplying the highest exponent prime factors to calculate the LCM of 25592 and 25603.

LCM(25592,25603) = 23 × 71 × 4571 × 256031
LCM(25592,25603) = 655231976