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What is the Least Common Multiple of 6666 and 6673?

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 6666 and 6673 is 44482218.

LCM(6666,6673) = 44482218

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Least Common Multiple of 6666 and 6673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6666 and 6673, than apply into the LCM equation.

GCF(6666,6673) = 1
LCM(6666,6673) = ( 6666 × 6673) / 1
LCM(6666,6673) = 44482218 / 1
LCM(6666,6673) = 44482218

Least Common Multiple (LCM) of 6666 and 6673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6666 and 6673. First we will calculate the prime factors of 6666 and 6673.

Prime Factorization of 6666

Prime factors of 6666 are 2, 3, 11, 101. Prime factorization of 6666 in exponential form is:

6666 = 21 × 31 × 111 × 1011

Prime Factorization of 6673

Prime factors of 6673 are 6673. Prime factorization of 6673 in exponential form is:

6673 = 66731

Now multiplying the highest exponent prime factors to calculate the LCM of 6666 and 6673.

LCM(6666,6673) = 21 × 31 × 111 × 1011 × 66731
LCM(6666,6673) = 44482218