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What is the Least Common Multiple of 25666 and 25672?

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 25666 and 25672 is 329448776.

LCM(25666,25672) = 329448776

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Least Common Multiple of 25666 and 25672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25666 and 25672, than apply into the LCM equation.

GCF(25666,25672) = 2
LCM(25666,25672) = ( 25666 × 25672) / 2
LCM(25666,25672) = 658897552 / 2
LCM(25666,25672) = 329448776

Least Common Multiple (LCM) of 25666 and 25672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25666 and 25672. First we will calculate the prime factors of 25666 and 25672.

Prime Factorization of 25666

Prime factors of 25666 are 2, 41, 313. Prime factorization of 25666 in exponential form is:

25666 = 21 × 411 × 3131

Prime Factorization of 25672

Prime factors of 25672 are 2, 3209. Prime factorization of 25672 in exponential form is:

25672 = 23 × 32091

Now multiplying the highest exponent prime factors to calculate the LCM of 25666 and 25672.

LCM(25666,25672) = 23 × 411 × 3131 × 32091
LCM(25666,25672) = 329448776