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What is the Least Common Multiple of 16955 and 16971?

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 16955 and 16971 is 287743305.

LCM(16955,16971) = 287743305

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Least Common Multiple of 16955 and 16971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16955 and 16971, than apply into the LCM equation.

GCF(16955,16971) = 1
LCM(16955,16971) = ( 16955 × 16971) / 1
LCM(16955,16971) = 287743305 / 1
LCM(16955,16971) = 287743305

Least Common Multiple (LCM) of 16955 and 16971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16955 and 16971. First we will calculate the prime factors of 16955 and 16971.

Prime Factorization of 16955

Prime factors of 16955 are 5, 3391. Prime factorization of 16955 in exponential form is:

16955 = 51 × 33911

Prime Factorization of 16971

Prime factors of 16971 are 3, 5657. Prime factorization of 16971 in exponential form is:

16971 = 31 × 56571

Now multiplying the highest exponent prime factors to calculate the LCM of 16955 and 16971.

LCM(16955,16971) = 51 × 33911 × 31 × 56571
LCM(16955,16971) = 287743305