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What is the Least Common Multiple of 28121 and 28128?

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 28121 and 28128 is 790987488.

LCM(28121,28128) = 790987488

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Least Common Multiple of 28121 and 28128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28121 and 28128, than apply into the LCM equation.

GCF(28121,28128) = 1
LCM(28121,28128) = ( 28121 × 28128) / 1
LCM(28121,28128) = 790987488 / 1
LCM(28121,28128) = 790987488

Least Common Multiple (LCM) of 28121 and 28128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28121 and 28128. First we will calculate the prime factors of 28121 and 28128.

Prime Factorization of 28121

Prime factors of 28121 are 61, 461. Prime factorization of 28121 in exponential form is:

28121 = 611 × 4611

Prime Factorization of 28128

Prime factors of 28128 are 2, 3, 293. Prime factorization of 28128 in exponential form is:

28128 = 25 × 31 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 28121 and 28128.

LCM(28121,28128) = 611 × 4611 × 25 × 31 × 2931
LCM(28121,28128) = 790987488