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What is the Least Common Multiple of 25948 and 25956?

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 25948 and 25956 is 168376572.

LCM(25948,25956) = 168376572

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Least Common Multiple of 25948 and 25956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25948 and 25956, than apply into the LCM equation.

GCF(25948,25956) = 4
LCM(25948,25956) = ( 25948 × 25956) / 4
LCM(25948,25956) = 673506288 / 4
LCM(25948,25956) = 168376572

Least Common Multiple (LCM) of 25948 and 25956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25948 and 25956. First we will calculate the prime factors of 25948 and 25956.

Prime Factorization of 25948

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

25948 = 22 × 131 × 4991

Prime Factorization of 25956

Prime factors of 25956 are 2, 3, 7, 103. Prime factorization of 25956 in exponential form is:

25956 = 22 × 32 × 71 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 25948 and 25956.

LCM(25948,25956) = 22 × 131 × 4991 × 32 × 71 × 1031
LCM(25948,25956) = 168376572