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What is the Least Common Multiple of 2183 and 2198?

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 2183 and 2198 is 4798234.

LCM(2183,2198) = 4798234

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Least Common Multiple of 2183 and 2198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2183 and 2198, than apply into the LCM equation.

GCF(2183,2198) = 1
LCM(2183,2198) = ( 2183 × 2198) / 1
LCM(2183,2198) = 4798234 / 1
LCM(2183,2198) = 4798234

Least Common Multiple (LCM) of 2183 and 2198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2183 and 2198. First we will calculate the prime factors of 2183 and 2198.

Prime Factorization of 2183

Prime factors of 2183 are 37, 59. Prime factorization of 2183 in exponential form is:

2183 = 371 × 591

Prime Factorization of 2198

Prime factors of 2198 are 2, 7, 157. Prime factorization of 2198 in exponential form is:

2198 = 21 × 71 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 2183 and 2198.

LCM(2183,2198) = 371 × 591 × 21 × 71 × 1571
LCM(2183,2198) = 4798234