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What is the Least Common Multiple of 16077 and 16091?

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 16077 and 16091 is 258695007.

LCM(16077,16091) = 258695007

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Least Common Multiple of 16077 and 16091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16077 and 16091, than apply into the LCM equation.

GCF(16077,16091) = 1
LCM(16077,16091) = ( 16077 × 16091) / 1
LCM(16077,16091) = 258695007 / 1
LCM(16077,16091) = 258695007

Least Common Multiple (LCM) of 16077 and 16091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16077 and 16091. First we will calculate the prime factors of 16077 and 16091.

Prime Factorization of 16077

Prime factors of 16077 are 3, 23, 233. Prime factorization of 16077 in exponential form is:

16077 = 31 × 231 × 2331

Prime Factorization of 16091

Prime factors of 16091 are 16091. Prime factorization of 16091 in exponential form is:

16091 = 160911

Now multiplying the highest exponent prime factors to calculate the LCM of 16077 and 16091.

LCM(16077,16091) = 31 × 231 × 2331 × 160911
LCM(16077,16091) = 258695007