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What is the Least Common Multiple of 25908 and 25920?

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 25908 and 25920 is 55961280.

LCM(25908,25920) = 55961280

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Least Common Multiple of 25908 and 25920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25908 and 25920, than apply into the LCM equation.

GCF(25908,25920) = 12
LCM(25908,25920) = ( 25908 × 25920) / 12
LCM(25908,25920) = 671535360 / 12
LCM(25908,25920) = 55961280

Least Common Multiple (LCM) of 25908 and 25920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25908 and 25920. First we will calculate the prime factors of 25908 and 25920.

Prime Factorization of 25908

Prime factors of 25908 are 2, 3, 17, 127. Prime factorization of 25908 in exponential form is:

25908 = 22 × 31 × 171 × 1271

Prime Factorization of 25920

Prime factors of 25920 are 2, 3, 5. Prime factorization of 25920 in exponential form is:

25920 = 26 × 34 × 51

Now multiplying the highest exponent prime factors to calculate the LCM of 25908 and 25920.

LCM(25908,25920) = 26 × 34 × 171 × 1271 × 51
LCM(25908,25920) = 55961280