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What is the Least Common Multiple of 18169 and 18182?

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 18169 and 18182 is 330348758.

LCM(18169,18182) = 330348758

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Least Common Multiple of 18169 and 18182 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18169 and 18182, than apply into the LCM equation.

GCF(18169,18182) = 1
LCM(18169,18182) = ( 18169 × 18182) / 1
LCM(18169,18182) = 330348758 / 1
LCM(18169,18182) = 330348758

Least Common Multiple (LCM) of 18169 and 18182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18169 and 18182. First we will calculate the prime factors of 18169 and 18182.

Prime Factorization of 18169

Prime factors of 18169 are 18169. Prime factorization of 18169 in exponential form is:

18169 = 181691

Prime Factorization of 18182

Prime factors of 18182 are 2, 9091. Prime factorization of 18182 in exponential form is:

18182 = 21 × 90911

Now multiplying the highest exponent prime factors to calculate the LCM of 18169 and 18182.

LCM(18169,18182) = 181691 × 21 × 90911
LCM(18169,18182) = 330348758