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What is the Least Common Multiple of 28178 and 28198?

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 28178 and 28198 is 397281622.

LCM(28178,28198) = 397281622

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Least Common Multiple of 28178 and 28198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28178 and 28198, than apply into the LCM equation.

GCF(28178,28198) = 2
LCM(28178,28198) = ( 28178 × 28198) / 2
LCM(28178,28198) = 794563244 / 2
LCM(28178,28198) = 397281622

Least Common Multiple (LCM) of 28178 and 28198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28178 and 28198. First we will calculate the prime factors of 28178 and 28198.

Prime Factorization of 28178

Prime factors of 28178 are 2, 73, 193. Prime factorization of 28178 in exponential form is:

28178 = 21 × 731 × 1931

Prime Factorization of 28198

Prime factors of 28198 are 2, 23, 613. Prime factorization of 28198 in exponential form is:

28198 = 21 × 231 × 6131

Now multiplying the highest exponent prime factors to calculate the LCM of 28178 and 28198.

LCM(28178,28198) = 21 × 731 × 1931 × 231 × 6131
LCM(28178,28198) = 397281622