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What is the Least Common Multiple of 25947 and 25964?

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 25947 and 25964 is 673687908.

LCM(25947,25964) = 673687908

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Least Common Multiple of 25947 and 25964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25947 and 25964, than apply into the LCM equation.

GCF(25947,25964) = 1
LCM(25947,25964) = ( 25947 × 25964) / 1
LCM(25947,25964) = 673687908 / 1
LCM(25947,25964) = 673687908

Least Common Multiple (LCM) of 25947 and 25964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25947 and 25964. First we will calculate the prime factors of 25947 and 25964.

Prime Factorization of 25947

Prime factors of 25947 are 3, 31. Prime factorization of 25947 in exponential form is:

25947 = 33 × 312

Prime Factorization of 25964

Prime factors of 25964 are 2, 6491. Prime factorization of 25964 in exponential form is:

25964 = 22 × 64911

Now multiplying the highest exponent prime factors to calculate the LCM of 25947 and 25964.

LCM(25947,25964) = 33 × 312 × 22 × 64911
LCM(25947,25964) = 673687908