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What is the Least Common Multiple of 25176 and 25188?

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 25176 and 25188 is 52844424.

LCM(25176,25188) = 52844424

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Least Common Multiple of 25176 and 25188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25176 and 25188, than apply into the LCM equation.

GCF(25176,25188) = 12
LCM(25176,25188) = ( 25176 × 25188) / 12
LCM(25176,25188) = 634133088 / 12
LCM(25176,25188) = 52844424

Least Common Multiple (LCM) of 25176 and 25188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25176 and 25188. First we will calculate the prime factors of 25176 and 25188.

Prime Factorization of 25176

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

25176 = 23 × 31 × 10491

Prime Factorization of 25188

Prime factors of 25188 are 2, 3, 2099. Prime factorization of 25188 in exponential form is:

25188 = 22 × 31 × 20991

Now multiplying the highest exponent prime factors to calculate the LCM of 25176 and 25188.

LCM(25176,25188) = 23 × 31 × 10491 × 20991
LCM(25176,25188) = 52844424