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What is the Least Common Multiple of 25967 and 25987?

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 25967 and 25987 is 674804429.

LCM(25967,25987) = 674804429

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Least Common Multiple of 25967 and 25987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25967 and 25987, than apply into the LCM equation.

GCF(25967,25987) = 1
LCM(25967,25987) = ( 25967 × 25987) / 1
LCM(25967,25987) = 674804429 / 1
LCM(25967,25987) = 674804429

Least Common Multiple (LCM) of 25967 and 25987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25967 and 25987. First we will calculate the prime factors of 25967 and 25987.

Prime Factorization of 25967

Prime factors of 25967 are 23, 1129. Prime factorization of 25967 in exponential form is:

25967 = 231 × 11291

Prime Factorization of 25987

Prime factors of 25987 are 13, 1999. Prime factorization of 25987 in exponential form is:

25987 = 131 × 19991

Now multiplying the highest exponent prime factors to calculate the LCM of 25967 and 25987.

LCM(25967,25987) = 231 × 11291 × 131 × 19991
LCM(25967,25987) = 674804429