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What is the Least Common Multiple of 25168 and 25176?

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 25168 and 25176 is 79203696.

LCM(25168,25176) = 79203696

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Least Common Multiple of 25168 and 25176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25168 and 25176, than apply into the LCM equation.

GCF(25168,25176) = 8
LCM(25168,25176) = ( 25168 × 25176) / 8
LCM(25168,25176) = 633629568 / 8
LCM(25168,25176) = 79203696

Least Common Multiple (LCM) of 25168 and 25176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25168 and 25176. First we will calculate the prime factors of 25168 and 25176.

Prime Factorization of 25168

Prime factors of 25168 are 2, 11, 13. Prime factorization of 25168 in exponential form is:

25168 = 24 × 112 × 131

Prime Factorization of 25176

Prime factors of 25176 are 2, 3, 1049. Prime factorization of 25176 in exponential form is:

25176 = 23 × 31 × 10491

Now multiplying the highest exponent prime factors to calculate the LCM of 25168 and 25176.

LCM(25168,25176) = 24 × 112 × 131 × 31 × 10491
LCM(25168,25176) = 79203696