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What is the Least Common Multiple of 2167 and 2184?

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 2167 and 2184 is 4732728.

LCM(2167,2184) = 4732728

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Least Common Multiple of 2167 and 2184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2167 and 2184, than apply into the LCM equation.

GCF(2167,2184) = 1
LCM(2167,2184) = ( 2167 × 2184) / 1
LCM(2167,2184) = 4732728 / 1
LCM(2167,2184) = 4732728

Least Common Multiple (LCM) of 2167 and 2184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2167 and 2184. First we will calculate the prime factors of 2167 and 2184.

Prime Factorization of 2167

Prime factors of 2167 are 11, 197. Prime factorization of 2167 in exponential form is:

2167 = 111 × 1971

Prime Factorization of 2184

Prime factors of 2184 are 2, 3, 7, 13. Prime factorization of 2184 in exponential form is:

2184 = 23 × 31 × 71 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 2167 and 2184.

LCM(2167,2184) = 111 × 1971 × 23 × 31 × 71 × 131
LCM(2167,2184) = 4732728