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What is the Least Common Multiple of 10203 and 10221?

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 10203 and 10221 is 34761621.

LCM(10203,10221) = 34761621

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Least Common Multiple of 10203 and 10221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10203 and 10221, than apply into the LCM equation.

GCF(10203,10221) = 3
LCM(10203,10221) = ( 10203 × 10221) / 3
LCM(10203,10221) = 104284863 / 3
LCM(10203,10221) = 34761621

Least Common Multiple (LCM) of 10203 and 10221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10203 and 10221. First we will calculate the prime factors of 10203 and 10221.

Prime Factorization of 10203

Prime factors of 10203 are 3, 19, 179. Prime factorization of 10203 in exponential form is:

10203 = 31 × 191 × 1791

Prime Factorization of 10221

Prime factors of 10221 are 3, 3407. Prime factorization of 10221 in exponential form is:

10221 = 31 × 34071

Now multiplying the highest exponent prime factors to calculate the LCM of 10203 and 10221.

LCM(10203,10221) = 31 × 191 × 1791 × 34071
LCM(10203,10221) = 34761621