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What is the Least Common Multiple of 16377 and 16387?

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 16387 is 268369899.

LCM(16377,16387) = 268369899

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Least Common Multiple of 16377 and 16387 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 16387, than apply into the LCM equation.

GCF(16377,16387) = 1
LCM(16377,16387) = ( 16377 × 16387) / 1
LCM(16377,16387) = 268369899 / 1
LCM(16377,16387) = 268369899

Least Common Multiple (LCM) of 16377 and 16387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16377 and 16387. First we will calculate the prime factors of 16377 and 16387.

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 16387

Prime factors of 16387 are 7, 2341. Prime factorization of 16387 in exponential form is:

16387 = 71 × 23411

Now multiplying the highest exponent prime factors to calculate the LCM of 16377 and 16387.

LCM(16377,16387) = 31 × 531 × 1031 × 71 × 23411
LCM(16377,16387) = 268369899