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What is the Least Common Multiple of 18693 and 18700?

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 18693 and 18700 is 349559100.

LCM(18693,18700) = 349559100

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Least Common Multiple of 18693 and 18700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18693 and 18700, than apply into the LCM equation.

GCF(18693,18700) = 1
LCM(18693,18700) = ( 18693 × 18700) / 1
LCM(18693,18700) = 349559100 / 1
LCM(18693,18700) = 349559100

Least Common Multiple (LCM) of 18693 and 18700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18693 and 18700. First we will calculate the prime factors of 18693 and 18700.

Prime Factorization of 18693

Prime factors of 18693 are 3, 31, 67. Prime factorization of 18693 in exponential form is:

18693 = 32 × 311 × 671

Prime Factorization of 18700

Prime factors of 18700 are 2, 5, 11, 17. Prime factorization of 18700 in exponential form is:

18700 = 22 × 52 × 111 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 18693 and 18700.

LCM(18693,18700) = 32 × 311 × 671 × 22 × 52 × 111 × 171
LCM(18693,18700) = 349559100