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What is the Least Common Multiple of 28353 and 28363?

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 28353 and 28363 is 804176139.

LCM(28353,28363) = 804176139

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Least Common Multiple of 28353 and 28363 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28353 and 28363, than apply into the LCM equation.

GCF(28353,28363) = 1
LCM(28353,28363) = ( 28353 × 28363) / 1
LCM(28353,28363) = 804176139 / 1
LCM(28353,28363) = 804176139

Least Common Multiple (LCM) of 28353 and 28363 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28353 and 28363. First we will calculate the prime factors of 28353 and 28363.

Prime Factorization of 28353

Prime factors of 28353 are 3, 13, 727. Prime factorization of 28353 in exponential form is:

28353 = 31 × 131 × 7271

Prime Factorization of 28363

Prime factors of 28363 are 113, 251. Prime factorization of 28363 in exponential form is:

28363 = 1131 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 28353 and 28363.

LCM(28353,28363) = 31 × 131 × 7271 × 1131 × 2511
LCM(28353,28363) = 804176139