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What is the Least Common Multiple of 28234 and 28254?

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 28234 and 28254 is 398861718.

LCM(28234,28254) = 398861718

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Least Common Multiple of 28234 and 28254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28234 and 28254, than apply into the LCM equation.

GCF(28234,28254) = 2
LCM(28234,28254) = ( 28234 × 28254) / 2
LCM(28234,28254) = 797723436 / 2
LCM(28234,28254) = 398861718

Least Common Multiple (LCM) of 28234 and 28254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28234 and 28254. First we will calculate the prime factors of 28234 and 28254.

Prime Factorization of 28234

Prime factors of 28234 are 2, 19, 743. Prime factorization of 28234 in exponential form is:

28234 = 21 × 191 × 7431

Prime Factorization of 28254

Prime factors of 28254 are 2, 3, 17, 277. Prime factorization of 28254 in exponential form is:

28254 = 21 × 31 × 171 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 28234 and 28254.

LCM(28234,28254) = 21 × 191 × 7431 × 31 × 171 × 2771
LCM(28234,28254) = 398861718