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What is the Least Common Multiple of 25915 and 25923?

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 25915 and 25923 is 671794545.

LCM(25915,25923) = 671794545

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Least Common Multiple of 25915 and 25923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25915 and 25923, than apply into the LCM equation.

GCF(25915,25923) = 1
LCM(25915,25923) = ( 25915 × 25923) / 1
LCM(25915,25923) = 671794545 / 1
LCM(25915,25923) = 671794545

Least Common Multiple (LCM) of 25915 and 25923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25915 and 25923. First we will calculate the prime factors of 25915 and 25923.

Prime Factorization of 25915

Prime factors of 25915 are 5, 71, 73. Prime factorization of 25915 in exponential form is:

25915 = 51 × 711 × 731

Prime Factorization of 25923

Prime factors of 25923 are 3, 8641. Prime factorization of 25923 in exponential form is:

25923 = 31 × 86411

Now multiplying the highest exponent prime factors to calculate the LCM of 25915 and 25923.

LCM(25915,25923) = 51 × 711 × 731 × 31 × 86411
LCM(25915,25923) = 671794545