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What is the Least Common Multiple of 25128 and 25144?

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 25128 and 25144 is 78977304.

LCM(25128,25144) = 78977304

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Least Common Multiple of 25128 and 25144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25128 and 25144, than apply into the LCM equation.

GCF(25128,25144) = 8
LCM(25128,25144) = ( 25128 × 25144) / 8
LCM(25128,25144) = 631818432 / 8
LCM(25128,25144) = 78977304

Least Common Multiple (LCM) of 25128 and 25144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25128 and 25144. First we will calculate the prime factors of 25128 and 25144.

Prime Factorization of 25128

Prime factors of 25128 are 2, 3, 349. Prime factorization of 25128 in exponential form is:

25128 = 23 × 32 × 3491

Prime Factorization of 25144

Prime factors of 25144 are 2, 7, 449. Prime factorization of 25144 in exponential form is:

25144 = 23 × 71 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 25128 and 25144.

LCM(25128,25144) = 23 × 32 × 3491 × 71 × 4491
LCM(25128,25144) = 78977304