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What is the Least Common Multiple of 16203 and 16211?

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 16203 and 16211 is 262666833.

LCM(16203,16211) = 262666833

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Least Common Multiple of 16203 and 16211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16203 and 16211, than apply into the LCM equation.

GCF(16203,16211) = 1
LCM(16203,16211) = ( 16203 × 16211) / 1
LCM(16203,16211) = 262666833 / 1
LCM(16203,16211) = 262666833

Least Common Multiple (LCM) of 16203 and 16211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16203 and 16211. First we will calculate the prime factors of 16203 and 16211.

Prime Factorization of 16203

Prime factors of 16203 are 3, 11, 491. Prime factorization of 16203 in exponential form is:

16203 = 31 × 111 × 4911

Prime Factorization of 16211

Prime factors of 16211 are 13, 29, 43. Prime factorization of 16211 in exponential form is:

16211 = 131 × 291 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 16203 and 16211.

LCM(16203,16211) = 31 × 111 × 4911 × 131 × 291 × 431
LCM(16203,16211) = 262666833