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What is the Least Common Multiple of 66275 and 66293?

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 66275 and 66293 is 4393568575.

LCM(66275,66293) = 4393568575

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Least Common Multiple of 66275 and 66293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66275 and 66293, than apply into the LCM equation.

GCF(66275,66293) = 1
LCM(66275,66293) = ( 66275 × 66293) / 1
LCM(66275,66293) = 4393568575 / 1
LCM(66275,66293) = 4393568575

Least Common Multiple (LCM) of 66275 and 66293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66275 and 66293. First we will calculate the prime factors of 66275 and 66293.

Prime Factorization of 66275

Prime factors of 66275 are 5, 11, 241. Prime factorization of 66275 in exponential form is:

66275 = 52 × 111 × 2411

Prime Factorization of 66293

Prime factors of 66293 are 66293. Prime factorization of 66293 in exponential form is:

66293 = 662931

Now multiplying the highest exponent prime factors to calculate the LCM of 66275 and 66293.

LCM(66275,66293) = 52 × 111 × 2411 × 662931
LCM(66275,66293) = 4393568575