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What is the Least Common Multiple of 16377 and 16382?

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 16377 and 16382 is 268288014.

LCM(16377,16382) = 268288014

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Least Common Multiple of 16377 and 16382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16377 and 16382, than apply into the LCM equation.

GCF(16377,16382) = 1
LCM(16377,16382) = ( 16377 × 16382) / 1
LCM(16377,16382) = 268288014 / 1
LCM(16377,16382) = 268288014

Least Common Multiple (LCM) of 16377 and 16382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16377 and 16382. First we will calculate the prime factors of 16377 and 16382.

Prime Factorization of 16377

Prime factors of 16377 are 3, 53, 103. Prime factorization of 16377 in exponential form is:

16377 = 31 × 531 × 1031

Prime Factorization of 16382

Prime factors of 16382 are 2, 8191. Prime factorization of 16382 in exponential form is:

16382 = 21 × 81911

Now multiplying the highest exponent prime factors to calculate the LCM of 16377 and 16382.

LCM(16377,16382) = 31 × 531 × 1031 × 21 × 81911
LCM(16377,16382) = 268288014