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What is the Least Common Multiple of 67178 and 67184?

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 67178 and 67184 is 2256643376.

LCM(67178,67184) = 2256643376

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Least Common Multiple of 67178 and 67184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67178 and 67184, than apply into the LCM equation.

GCF(67178,67184) = 2
LCM(67178,67184) = ( 67178 × 67184) / 2
LCM(67178,67184) = 4513286752 / 2
LCM(67178,67184) = 2256643376

Least Common Multiple (LCM) of 67178 and 67184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67178 and 67184. First we will calculate the prime factors of 67178 and 67184.

Prime Factorization of 67178

Prime factors of 67178 are 2, 33589. Prime factorization of 67178 in exponential form is:

67178 = 21 × 335891

Prime Factorization of 67184

Prime factors of 67184 are 2, 13, 17, 19. Prime factorization of 67184 in exponential form is:

67184 = 24 × 131 × 171 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 67178 and 67184.

LCM(67178,67184) = 24 × 335891 × 131 × 171 × 191
LCM(67178,67184) = 2256643376