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What is the Least Common Multiple of 69183 and 69198?

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 69183 and 69198 is 1595775078.

LCM(69183,69198) = 1595775078

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Least Common Multiple of 69183 and 69198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69183 and 69198, than apply into the LCM equation.

GCF(69183,69198) = 3
LCM(69183,69198) = ( 69183 × 69198) / 3
LCM(69183,69198) = 4787325234 / 3
LCM(69183,69198) = 1595775078

Least Common Multiple (LCM) of 69183 and 69198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69183 and 69198. First we will calculate the prime factors of 69183 and 69198.

Prime Factorization of 69183

Prime factors of 69183 are 3, 7687. Prime factorization of 69183 in exponential form is:

69183 = 32 × 76871

Prime Factorization of 69198

Prime factors of 69198 are 2, 3, 19, 607. Prime factorization of 69198 in exponential form is:

69198 = 21 × 31 × 191 × 6071

Now multiplying the highest exponent prime factors to calculate the LCM of 69183 and 69198.

LCM(69183,69198) = 32 × 76871 × 21 × 191 × 6071
LCM(69183,69198) = 1595775078