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What is the Least Common Multiple of 4167 and 4184?

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 4167 and 4184 is 17434728.

LCM(4167,4184) = 17434728

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Least Common Multiple of 4167 and 4184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4167 and 4184, than apply into the LCM equation.

GCF(4167,4184) = 1
LCM(4167,4184) = ( 4167 × 4184) / 1
LCM(4167,4184) = 17434728 / 1
LCM(4167,4184) = 17434728

Least Common Multiple (LCM) of 4167 and 4184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4167 and 4184. First we will calculate the prime factors of 4167 and 4184.

Prime Factorization of 4167

Prime factors of 4167 are 3, 463. Prime factorization of 4167 in exponential form is:

4167 = 32 × 4631

Prime Factorization of 4184

Prime factors of 4184 are 2, 523. Prime factorization of 4184 in exponential form is:

4184 = 23 × 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 4167 and 4184.

LCM(4167,4184) = 32 × 4631 × 23 × 5231
LCM(4167,4184) = 17434728