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Least Common Multiple of 184 and 198

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 184 and 198 is 18216.

LCM(184,198) = 18216

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Least Common Multiple of 184 and 198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 184 and 198, than apply into the LCM equation.

GCF(184,198) = 2
LCM(184,198) = ( 184 × 198) / 2
LCM(184,198) = 36432 / 2
LCM(184,198) = 18216

Least Common Multiple (LCM) of 184 and 198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 184 and 198. First we will calculate the prime factors of 184 and 198.

Prime Factorization of 184

Prime factors of 184 are 2, 23. Prime factorization of 184 in exponential form is:

184 = 23 × 231

Prime Factorization of 198

Prime factors of 198 are 2, 3, 11. Prime factorization of 198 in exponential form is:

198 = 21 × 32 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 184 and 198.

LCM(184,198) = 23 × 231 × 32 × 111
LCM(184,198) = 18216

Recent Comments
Jai 2020-01-27 05:37:21

Solved the l c m of 184

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