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What is the Least Common Multiple of 67173 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 67173 and 67184 is 4512950832.

LCM(67173,67184) = 4512950832

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Least Common Multiple of 67173 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 67173 and 67184, than apply into the LCM equation.

GCF(67173,67184) = 1
LCM(67173,67184) = ( 67173 × 67184) / 1
LCM(67173,67184) = 4512950832 / 1
LCM(67173,67184) = 4512950832

Least Common Multiple (LCM) of 67173 and 67184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67173 and 67184. First we will calculate the prime factors of 67173 and 67184.

Prime Factorization of 67173

Prime factors of 67173 are 3, 22391. Prime factorization of 67173 in exponential form is:

67173 = 31 × 223911

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 67173 and 67184.

LCM(67173,67184) = 31 × 223911 × 24 × 131 × 171 × 191
LCM(67173,67184) = 4512950832