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What is the Least Common Multiple of 18090 and 18104?

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 18090 and 18104 is 163750680.

LCM(18090,18104) = 163750680

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Least Common Multiple of 18090 and 18104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18090 and 18104, than apply into the LCM equation.

GCF(18090,18104) = 2
LCM(18090,18104) = ( 18090 × 18104) / 2
LCM(18090,18104) = 327501360 / 2
LCM(18090,18104) = 163750680

Least Common Multiple (LCM) of 18090 and 18104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18090 and 18104. First we will calculate the prime factors of 18090 and 18104.

Prime Factorization of 18090

Prime factors of 18090 are 2, 3, 5, 67. Prime factorization of 18090 in exponential form is:

18090 = 21 × 33 × 51 × 671

Prime Factorization of 18104

Prime factors of 18104 are 2, 31, 73. Prime factorization of 18104 in exponential form is:

18104 = 23 × 311 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 18090 and 18104.

LCM(18090,18104) = 23 × 33 × 51 × 671 × 311 × 731
LCM(18090,18104) = 163750680