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What is the Least Common Multiple of 18161 and 18167?

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 18161 and 18167 is 329930887.

LCM(18161,18167) = 329930887

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Least Common Multiple of 18161 and 18167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18161 and 18167, than apply into the LCM equation.

GCF(18161,18167) = 1
LCM(18161,18167) = ( 18161 × 18167) / 1
LCM(18161,18167) = 329930887 / 1
LCM(18161,18167) = 329930887

Least Common Multiple (LCM) of 18161 and 18167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18161 and 18167. First we will calculate the prime factors of 18161 and 18167.

Prime Factorization of 18161

Prime factors of 18161 are 11, 13, 127. Prime factorization of 18161 in exponential form is:

18161 = 111 × 131 × 1271

Prime Factorization of 18167

Prime factors of 18167 are 37, 491. Prime factorization of 18167 in exponential form is:

18167 = 371 × 4911

Now multiplying the highest exponent prime factors to calculate the LCM of 18161 and 18167.

LCM(18161,18167) = 111 × 131 × 1271 × 371 × 4911
LCM(18161,18167) = 329930887