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What is the Least Common Multiple of 8164 and 8184?

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 8164 and 8184 is 16703544.

LCM(8164,8184) = 16703544

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Least Common Multiple of 8164 and 8184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8164 and 8184, than apply into the LCM equation.

GCF(8164,8184) = 4
LCM(8164,8184) = ( 8164 × 8184) / 4
LCM(8164,8184) = 66814176 / 4
LCM(8164,8184) = 16703544

Least Common Multiple (LCM) of 8164 and 8184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8164 and 8184. First we will calculate the prime factors of 8164 and 8184.

Prime Factorization of 8164

Prime factors of 8164 are 2, 13, 157. Prime factorization of 8164 in exponential form is:

8164 = 22 × 131 × 1571

Prime Factorization of 8184

Prime factors of 8184 are 2, 3, 11, 31. Prime factorization of 8184 in exponential form is:

8184 = 23 × 31 × 111 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 8164 and 8184.

LCM(8164,8184) = 23 × 131 × 1571 × 31 × 111 × 311
LCM(8164,8184) = 16703544