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What is the Least Common Multiple of 16367 and 16375?

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 16367 and 16375 is 268009625.

LCM(16367,16375) = 268009625

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Least Common Multiple of 16367 and 16375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16367 and 16375, than apply into the LCM equation.

GCF(16367,16375) = 1
LCM(16367,16375) = ( 16367 × 16375) / 1
LCM(16367,16375) = 268009625 / 1
LCM(16367,16375) = 268009625

Least Common Multiple (LCM) of 16367 and 16375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16367 and 16375. First we will calculate the prime factors of 16367 and 16375.

Prime Factorization of 16367

Prime factors of 16367 are 13, 1259. Prime factorization of 16367 in exponential form is:

16367 = 131 × 12591

Prime Factorization of 16375

Prime factors of 16375 are 5, 131. Prime factorization of 16375 in exponential form is:

16375 = 53 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 16367 and 16375.

LCM(16367,16375) = 131 × 12591 × 53 × 1311
LCM(16367,16375) = 268009625