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What is the Least Common Multiple of 184 and 202?

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 202 is 18584.

LCM(184,202) = 18584

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Least Common Multiple of 184 and 202 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 202, than apply into the LCM equation.

GCF(184,202) = 2
LCM(184,202) = ( 184 × 202) / 2
LCM(184,202) = 37168 / 2
LCM(184,202) = 18584

Least Common Multiple (LCM) of 184 and 202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 184 and 202. First we will calculate the prime factors of 184 and 202.

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 202

Prime factors of 202 are 2, 101. Prime factorization of 202 in exponential form is:

202 = 21 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 184 and 202.

LCM(184,202) = 23 × 231 × 1011
LCM(184,202) = 18584

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