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What is the Least Common Multiple of 18201 and 18221?

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 18201 and 18221 is 331640421.

LCM(18201,18221) = 331640421

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Least Common Multiple of 18201 and 18221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18201 and 18221, than apply into the LCM equation.

GCF(18201,18221) = 1
LCM(18201,18221) = ( 18201 × 18221) / 1
LCM(18201,18221) = 331640421 / 1
LCM(18201,18221) = 331640421

Least Common Multiple (LCM) of 18201 and 18221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18201 and 18221. First we will calculate the prime factors of 18201 and 18221.

Prime Factorization of 18201

Prime factors of 18201 are 3, 6067. Prime factorization of 18201 in exponential form is:

18201 = 31 × 60671

Prime Factorization of 18221

Prime factors of 18221 are 7, 19, 137. Prime factorization of 18221 in exponential form is:

18221 = 71 × 191 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 18201 and 18221.

LCM(18201,18221) = 31 × 60671 × 71 × 191 × 1371
LCM(18201,18221) = 331640421