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What is the Least Common Multiple of 25933 and 25950?

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 25933 and 25950 is 672961350.

LCM(25933,25950) = 672961350

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Least Common Multiple of 25933 and 25950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25933 and 25950, than apply into the LCM equation.

GCF(25933,25950) = 1
LCM(25933,25950) = ( 25933 × 25950) / 1
LCM(25933,25950) = 672961350 / 1
LCM(25933,25950) = 672961350

Least Common Multiple (LCM) of 25933 and 25950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25933 and 25950. First we will calculate the prime factors of 25933 and 25950.

Prime Factorization of 25933

Prime factors of 25933 are 25933. Prime factorization of 25933 in exponential form is:

25933 = 259331

Prime Factorization of 25950

Prime factors of 25950 are 2, 3, 5, 173. Prime factorization of 25950 in exponential form is:

25950 = 21 × 31 × 52 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 25933 and 25950.

LCM(25933,25950) = 259331 × 21 × 31 × 52 × 1731
LCM(25933,25950) = 672961350