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What is the Least Common Multiple of 25319 and 25332?

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 25319 and 25332 is 641380908.

LCM(25319,25332) = 641380908

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Least Common Multiple of 25319 and 25332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25319 and 25332, than apply into the LCM equation.

GCF(25319,25332) = 1
LCM(25319,25332) = ( 25319 × 25332) / 1
LCM(25319,25332) = 641380908 / 1
LCM(25319,25332) = 641380908

Least Common Multiple (LCM) of 25319 and 25332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25319 and 25332. First we will calculate the prime factors of 25319 and 25332.

Prime Factorization of 25319

Prime factors of 25319 are 7, 3617. Prime factorization of 25319 in exponential form is:

25319 = 71 × 36171

Prime Factorization of 25332

Prime factors of 25332 are 2, 3, 2111. Prime factorization of 25332 in exponential form is:

25332 = 22 × 31 × 21111

Now multiplying the highest exponent prime factors to calculate the LCM of 25319 and 25332.

LCM(25319,25332) = 71 × 36171 × 22 × 31 × 21111
LCM(25319,25332) = 641380908