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What is the Least Common Multiple of 25708 and 25725?

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 25708 and 25725 is 661338300.

LCM(25708,25725) = 661338300

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Least Common Multiple of 25708 and 25725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25708 and 25725, than apply into the LCM equation.

GCF(25708,25725) = 1
LCM(25708,25725) = ( 25708 × 25725) / 1
LCM(25708,25725) = 661338300 / 1
LCM(25708,25725) = 661338300

Least Common Multiple (LCM) of 25708 and 25725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25708 and 25725. First we will calculate the prime factors of 25708 and 25725.

Prime Factorization of 25708

Prime factors of 25708 are 2, 6427. Prime factorization of 25708 in exponential form is:

25708 = 22 × 64271

Prime Factorization of 25725

Prime factors of 25725 are 3, 5, 7. Prime factorization of 25725 in exponential form is:

25725 = 31 × 52 × 73

Now multiplying the highest exponent prime factors to calculate the LCM of 25708 and 25725.

LCM(25708,25725) = 22 × 64271 × 31 × 52 × 73
LCM(25708,25725) = 661338300