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What is the Least Common Multiple of 25739 and 25755?

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 25739 and 25755 is 662907945.

LCM(25739,25755) = 662907945

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Least Common Multiple of 25739 and 25755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25739 and 25755, than apply into the LCM equation.

GCF(25739,25755) = 1
LCM(25739,25755) = ( 25739 × 25755) / 1
LCM(25739,25755) = 662907945 / 1
LCM(25739,25755) = 662907945

Least Common Multiple (LCM) of 25739 and 25755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25739 and 25755. First we will calculate the prime factors of 25739 and 25755.

Prime Factorization of 25739

Prime factors of 25739 are 7, 3677. Prime factorization of 25739 in exponential form is:

25739 = 71 × 36771

Prime Factorization of 25755

Prime factors of 25755 are 3, 5, 17, 101. Prime factorization of 25755 in exponential form is:

25755 = 31 × 51 × 171 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 25739 and 25755.

LCM(25739,25755) = 71 × 36771 × 31 × 51 × 171 × 1011
LCM(25739,25755) = 662907945