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What is the Least Common Multiple of 68184 and 68190?

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 68190 is 774911160.

LCM(68184,68190) = 774911160

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Least Common Multiple of 68184 and 68190 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 68190, than apply into the LCM equation.

GCF(68184,68190) = 6
LCM(68184,68190) = ( 68184 × 68190) / 6
LCM(68184,68190) = 4649466960 / 6
LCM(68184,68190) = 774911160

Least Common Multiple (LCM) of 68184 and 68190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68184 and 68190. First we will calculate the prime factors of 68184 and 68190.

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 68190

Prime factors of 68190 are 2, 3, 5, 2273. Prime factorization of 68190 in exponential form is:

68190 = 21 × 31 × 51 × 22731

Now multiplying the highest exponent prime factors to calculate the LCM of 68184 and 68190.

LCM(68184,68190) = 23 × 32 × 9471 × 51 × 22731
LCM(68184,68190) = 774911160