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What is the Least Common Multiple of 68176 and 68184?

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 68176 and 68184 is 581064048.

LCM(68176,68184) = 581064048

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Least Common Multiple of 68176 and 68184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68176 and 68184, than apply into the LCM equation.

GCF(68176,68184) = 8
LCM(68176,68184) = ( 68176 × 68184) / 8
LCM(68176,68184) = 4648512384 / 8
LCM(68176,68184) = 581064048

Least Common Multiple (LCM) of 68176 and 68184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68176 and 68184. First we will calculate the prime factors of 68176 and 68184.

Prime Factorization of 68176

Prime factors of 68176 are 2, 4261. Prime factorization of 68176 in exponential form is:

68176 = 24 × 42611

Prime Factorization of 68184

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

68184 = 23 × 32 × 9471

Now multiplying the highest exponent prime factors to calculate the LCM of 68176 and 68184.

LCM(68176,68184) = 24 × 42611 × 32 × 9471
LCM(68176,68184) = 581064048