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What is the Least Common Multiple of 67275 and 67293?

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 67275 and 67293 is 503015175.

LCM(67275,67293) = 503015175

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Least Common Multiple of 67275 and 67293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67275 and 67293, than apply into the LCM equation.

GCF(67275,67293) = 9
LCM(67275,67293) = ( 67275 × 67293) / 9
LCM(67275,67293) = 4527136575 / 9
LCM(67275,67293) = 503015175

Least Common Multiple (LCM) of 67275 and 67293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67275 and 67293. First we will calculate the prime factors of 67275 and 67293.

Prime Factorization of 67275

Prime factors of 67275 are 3, 5, 13, 23. Prime factorization of 67275 in exponential form is:

67275 = 32 × 52 × 131 × 231

Prime Factorization of 67293

Prime factors of 67293 are 3, 7477. Prime factorization of 67293 in exponential form is:

67293 = 32 × 74771

Now multiplying the highest exponent prime factors to calculate the LCM of 67275 and 67293.

LCM(67275,67293) = 32 × 52 × 131 × 231 × 74771
LCM(67275,67293) = 503015175