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What is the Least Common Multiple of 25930 and 25948?

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 25948 is 336415820.

LCM(25930,25948) = 336415820

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Least Common Multiple of 25930 and 25948 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 25948, than apply into the LCM equation.

GCF(25930,25948) = 2
LCM(25930,25948) = ( 25930 × 25948) / 2
LCM(25930,25948) = 672831640 / 2
LCM(25930,25948) = 336415820

Least Common Multiple (LCM) of 25930 and 25948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25930 and 25948. First we will calculate the prime factors of 25930 and 25948.

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 25948

Prime factors of 25948 are 2, 13, 499. Prime factorization of 25948 in exponential form is:

25948 = 22 × 131 × 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 25930 and 25948.

LCM(25930,25948) = 22 × 51 × 25931 × 131 × 4991
LCM(25930,25948) = 336415820