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What is the Least Common Multiple of 25820 and 25824?

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 25820 and 25824 is 166693920.

LCM(25820,25824) = 166693920

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Least Common Multiple of 25820 and 25824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25820 and 25824, than apply into the LCM equation.

GCF(25820,25824) = 4
LCM(25820,25824) = ( 25820 × 25824) / 4
LCM(25820,25824) = 666775680 / 4
LCM(25820,25824) = 166693920

Least Common Multiple (LCM) of 25820 and 25824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25820 and 25824. First we will calculate the prime factors of 25820 and 25824.

Prime Factorization of 25820

Prime factors of 25820 are 2, 5, 1291. Prime factorization of 25820 in exponential form is:

25820 = 22 × 51 × 12911

Prime Factorization of 25824

Prime factors of 25824 are 2, 3, 269. Prime factorization of 25824 in exponential form is:

25824 = 25 × 31 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 25820 and 25824.

LCM(25820,25824) = 25 × 51 × 12911 × 31 × 2691
LCM(25820,25824) = 166693920