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What is the Least Common Multiple of 16203 and 16218?

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 16218 is 87593418.

LCM(16203,16218) = 87593418

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Least Common Multiple of 16203 and 16218 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 16218, than apply into the LCM equation.

GCF(16203,16218) = 3
LCM(16203,16218) = ( 16203 × 16218) / 3
LCM(16203,16218) = 262780254 / 3
LCM(16203,16218) = 87593418

Least Common Multiple (LCM) of 16203 and 16218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16203 and 16218. First we will calculate the prime factors of 16203 and 16218.

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 16218

Prime factors of 16218 are 2, 3, 17, 53. Prime factorization of 16218 in exponential form is:

16218 = 21 × 32 × 171 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 16203 and 16218.

LCM(16203,16218) = 32 × 111 × 4911 × 21 × 171 × 531
LCM(16203,16218) = 87593418