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What is the Least Common Multiple of 66869 and 66873?

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 66869 and 66873 is 4471730637.

LCM(66869,66873) = 4471730637

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Least Common Multiple of 66869 and 66873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66869 and 66873, than apply into the LCM equation.

GCF(66869,66873) = 1
LCM(66869,66873) = ( 66869 × 66873) / 1
LCM(66869,66873) = 4471730637 / 1
LCM(66869,66873) = 4471730637

Least Common Multiple (LCM) of 66869 and 66873 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66869 and 66873. First we will calculate the prime factors of 66869 and 66873.

Prime Factorization of 66869

Prime factors of 66869 are 11, 6079. Prime factorization of 66869 in exponential form is:

66869 = 111 × 60791

Prime Factorization of 66873

Prime factors of 66873 are 3, 22291. Prime factorization of 66873 in exponential form is:

66873 = 31 × 222911

Now multiplying the highest exponent prime factors to calculate the LCM of 66869 and 66873.

LCM(66869,66873) = 111 × 60791 × 31 × 222911
LCM(66869,66873) = 4471730637