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What is the Least Common Multiple of 25708 and 25718?

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 25718 is 330579172.

LCM(25708,25718) = 330579172

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Least Common Multiple of 25708 and 25718 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 25718, than apply into the LCM equation.

GCF(25708,25718) = 2
LCM(25708,25718) = ( 25708 × 25718) / 2
LCM(25708,25718) = 661158344 / 2
LCM(25708,25718) = 330579172

Least Common Multiple (LCM) of 25708 and 25718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25708 and 25718. First we will calculate the prime factors of 25708 and 25718.

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 25718

Prime factors of 25718 are 2, 7, 11, 167. Prime factorization of 25718 in exponential form is:

25718 = 21 × 71 × 111 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 25708 and 25718.

LCM(25708,25718) = 22 × 64271 × 71 × 111 × 1671
LCM(25708,25718) = 330579172