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What is the Least Common Multiple of 25315 and 25322?

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 25315 and 25322 is 641026430.

LCM(25315,25322) = 641026430

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Least Common Multiple of 25315 and 25322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25315 and 25322, than apply into the LCM equation.

GCF(25315,25322) = 1
LCM(25315,25322) = ( 25315 × 25322) / 1
LCM(25315,25322) = 641026430 / 1
LCM(25315,25322) = 641026430

Least Common Multiple (LCM) of 25315 and 25322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25315 and 25322. First we will calculate the prime factors of 25315 and 25322.

Prime Factorization of 25315

Prime factors of 25315 are 5, 61, 83. Prime factorization of 25315 in exponential form is:

25315 = 51 × 611 × 831

Prime Factorization of 25322

Prime factors of 25322 are 2, 11, 1151. Prime factorization of 25322 in exponential form is:

25322 = 21 × 111 × 11511

Now multiplying the highest exponent prime factors to calculate the LCM of 25315 and 25322.

LCM(25315,25322) = 51 × 611 × 831 × 21 × 111 × 11511
LCM(25315,25322) = 641026430