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What is the Least Common Multiple of 28163 and 28182?

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 28163 and 28182 is 793689666.

LCM(28163,28182) = 793689666

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Least Common Multiple of 28163 and 28182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28163 and 28182, than apply into the LCM equation.

GCF(28163,28182) = 1
LCM(28163,28182) = ( 28163 × 28182) / 1
LCM(28163,28182) = 793689666 / 1
LCM(28163,28182) = 793689666

Least Common Multiple (LCM) of 28163 and 28182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28163 and 28182. First we will calculate the prime factors of 28163 and 28182.

Prime Factorization of 28163

Prime factors of 28163 are 28163. Prime factorization of 28163 in exponential form is:

28163 = 281631

Prime Factorization of 28182

Prime factors of 28182 are 2, 3, 7, 11, 61. Prime factorization of 28182 in exponential form is:

28182 = 21 × 31 × 71 × 111 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 28163 and 28182.

LCM(28163,28182) = 281631 × 21 × 31 × 71 × 111 × 611
LCM(28163,28182) = 793689666