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What is the Least Common Multiple of 28144 and 28149?

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 28144 and 28149 is 792225456.

LCM(28144,28149) = 792225456

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Least Common Multiple of 28144 and 28149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28144 and 28149, than apply into the LCM equation.

GCF(28144,28149) = 1
LCM(28144,28149) = ( 28144 × 28149) / 1
LCM(28144,28149) = 792225456 / 1
LCM(28144,28149) = 792225456

Least Common Multiple (LCM) of 28144 and 28149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28144 and 28149. First we will calculate the prime factors of 28144 and 28149.

Prime Factorization of 28144

Prime factors of 28144 are 2, 1759. Prime factorization of 28144 in exponential form is:

28144 = 24 × 17591

Prime Factorization of 28149

Prime factors of 28149 are 3, 11, 853. Prime factorization of 28149 in exponential form is:

28149 = 31 × 111 × 8531

Now multiplying the highest exponent prime factors to calculate the LCM of 28144 and 28149.

LCM(28144,28149) = 24 × 17591 × 31 × 111 × 8531
LCM(28144,28149) = 792225456