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What is the Least Common Multiple of 25935 and 25953?

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 25935 and 25953 is 224363685.

LCM(25935,25953) = 224363685

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Least Common Multiple of 25935 and 25953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25935 and 25953, than apply into the LCM equation.

GCF(25935,25953) = 3
LCM(25935,25953) = ( 25935 × 25953) / 3
LCM(25935,25953) = 673091055 / 3
LCM(25935,25953) = 224363685

Least Common Multiple (LCM) of 25935 and 25953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25935 and 25953. First we will calculate the prime factors of 25935 and 25953.

Prime Factorization of 25935

Prime factors of 25935 are 3, 5, 7, 13, 19. Prime factorization of 25935 in exponential form is:

25935 = 31 × 51 × 71 × 131 × 191

Prime Factorization of 25953

Prime factors of 25953 are 3, 41, 211. Prime factorization of 25953 in exponential form is:

25953 = 31 × 411 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 25935 and 25953.

LCM(25935,25953) = 31 × 51 × 71 × 131 × 191 × 411 × 2111
LCM(25935,25953) = 224363685