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What is the Least Common Multiple of 68184 and 68199?

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 68184 and 68199 is 1550026872.

LCM(68184,68199) = 1550026872

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Least Common Multiple of 68184 and 68199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68184 and 68199, than apply into the LCM equation.

GCF(68184,68199) = 3
LCM(68184,68199) = ( 68184 × 68199) / 3
LCM(68184,68199) = 4650080616 / 3
LCM(68184,68199) = 1550026872

Least Common Multiple (LCM) of 68184 and 68199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68184 and 68199. First we will calculate the prime factors of 68184 and 68199.

Prime Factorization of 68184

Prime factors of 68184 are 2, 3, 947. Prime factorization of 68184 in exponential form is:

68184 = 23 × 32 × 9471

Prime Factorization of 68199

Prime factors of 68199 are 3, 127, 179. Prime factorization of 68199 in exponential form is:

68199 = 31 × 1271 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 68184 and 68199.

LCM(68184,68199) = 23 × 32 × 9471 × 1271 × 1791
LCM(68184,68199) = 1550026872