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What is the Least Common Multiple of 5183 and 5198?

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 5183 and 5198 is 26941234.

LCM(5183,5198) = 26941234

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Least Common Multiple of 5183 and 5198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5183 and 5198, than apply into the LCM equation.

GCF(5183,5198) = 1
LCM(5183,5198) = ( 5183 × 5198) / 1
LCM(5183,5198) = 26941234 / 1
LCM(5183,5198) = 26941234

Least Common Multiple (LCM) of 5183 and 5198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5183 and 5198. First we will calculate the prime factors of 5183 and 5198.

Prime Factorization of 5183

Prime factors of 5183 are 71, 73. Prime factorization of 5183 in exponential form is:

5183 = 711 × 731

Prime Factorization of 5198

Prime factors of 5198 are 2, 23, 113. Prime factorization of 5198 in exponential form is:

5198 = 21 × 231 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 5183 and 5198.

LCM(5183,5198) = 711 × 731 × 21 × 231 × 1131
LCM(5183,5198) = 26941234