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What is the Least Common Multiple of 25684 and 25692?

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 25684 and 25692 is 164968332.

LCM(25684,25692) = 164968332

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Least Common Multiple of 25684 and 25692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25684 and 25692, than apply into the LCM equation.

GCF(25684,25692) = 4
LCM(25684,25692) = ( 25684 × 25692) / 4
LCM(25684,25692) = 659873328 / 4
LCM(25684,25692) = 164968332

Least Common Multiple (LCM) of 25684 and 25692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25684 and 25692. First we will calculate the prime factors of 25684 and 25692.

Prime Factorization of 25684

Prime factors of 25684 are 2, 6421. Prime factorization of 25684 in exponential form is:

25684 = 22 × 64211

Prime Factorization of 25692

Prime factors of 25692 are 2, 3, 2141. Prime factorization of 25692 in exponential form is:

25692 = 22 × 31 × 21411

Now multiplying the highest exponent prime factors to calculate the LCM of 25684 and 25692.

LCM(25684,25692) = 22 × 64211 × 31 × 21411
LCM(25684,25692) = 164968332