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What is the Least Common Multiple of 16296 and 16301?

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 16296 and 16301 is 265641096.

LCM(16296,16301) = 265641096

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Least Common Multiple of 16296 and 16301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16296 and 16301, than apply into the LCM equation.

GCF(16296,16301) = 1
LCM(16296,16301) = ( 16296 × 16301) / 1
LCM(16296,16301) = 265641096 / 1
LCM(16296,16301) = 265641096

Least Common Multiple (LCM) of 16296 and 16301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16296 and 16301. First we will calculate the prime factors of 16296 and 16301.

Prime Factorization of 16296

Prime factors of 16296 are 2, 3, 7, 97. Prime factorization of 16296 in exponential form is:

16296 = 23 × 31 × 71 × 971

Prime Factorization of 16301

Prime factors of 16301 are 16301. Prime factorization of 16301 in exponential form is:

16301 = 163011

Now multiplying the highest exponent prime factors to calculate the LCM of 16296 and 16301.

LCM(16296,16301) = 23 × 31 × 71 × 971 × 163011
LCM(16296,16301) = 265641096