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What is the Least Common Multiple of 16902 and 16916?

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 16902 and 16916 is 142957116.

LCM(16902,16916) = 142957116

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Least Common Multiple of 16902 and 16916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16902 and 16916, than apply into the LCM equation.

GCF(16902,16916) = 2
LCM(16902,16916) = ( 16902 × 16916) / 2
LCM(16902,16916) = 285914232 / 2
LCM(16902,16916) = 142957116

Least Common Multiple (LCM) of 16902 and 16916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16902 and 16916. First we will calculate the prime factors of 16902 and 16916.

Prime Factorization of 16902

Prime factors of 16902 are 2, 3, 313. Prime factorization of 16902 in exponential form is:

16902 = 21 × 33 × 3131

Prime Factorization of 16916

Prime factors of 16916 are 2, 4229. Prime factorization of 16916 in exponential form is:

16916 = 22 × 42291

Now multiplying the highest exponent prime factors to calculate the LCM of 16902 and 16916.

LCM(16902,16916) = 22 × 33 × 3131 × 42291
LCM(16902,16916) = 142957116