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What is the Least Common Multiple of 66873 and 66879?

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 66873 and 66879 is 1490799789.

LCM(66873,66879) = 1490799789

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Least Common Multiple of 66873 and 66879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66873 and 66879, than apply into the LCM equation.

GCF(66873,66879) = 3
LCM(66873,66879) = ( 66873 × 66879) / 3
LCM(66873,66879) = 4472399367 / 3
LCM(66873,66879) = 1490799789

Least Common Multiple (LCM) of 66873 and 66879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66873 and 66879. First we will calculate the prime factors of 66873 and 66879.

Prime Factorization of 66873

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

66873 = 31 × 222911

Prime Factorization of 66879

Prime factors of 66879 are 3, 2477. Prime factorization of 66879 in exponential form is:

66879 = 33 × 24771

Now multiplying the highest exponent prime factors to calculate the LCM of 66873 and 66879.

LCM(66873,66879) = 33 × 222911 × 24771
LCM(66873,66879) = 1490799789