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What is the Least Common Multiple of 25930 and 25938?

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 25930 and 25938 is 336286170.

LCM(25930,25938) = 336286170

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Least Common Multiple of 25930 and 25938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25930 and 25938, than apply into the LCM equation.

GCF(25930,25938) = 2
LCM(25930,25938) = ( 25930 × 25938) / 2
LCM(25930,25938) = 672572340 / 2
LCM(25930,25938) = 336286170

Least Common Multiple (LCM) of 25930 and 25938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25930 and 25938. First we will calculate the prime factors of 25930 and 25938.

Prime Factorization of 25930

Prime factors of 25930 are 2, 5, 2593. Prime factorization of 25930 in exponential form is:

25930 = 21 × 51 × 25931

Prime Factorization of 25938

Prime factors of 25938 are 2, 3, 11, 131. Prime factorization of 25938 in exponential form is:

25938 = 21 × 32 × 111 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 25930 and 25938.

LCM(25930,25938) = 21 × 51 × 25931 × 32 × 111 × 1311
LCM(25930,25938) = 336286170