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What is the Least Common Multiple of 66897 and 66909?

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 66897 and 66909 is 1492003791.

LCM(66897,66909) = 1492003791

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Least Common Multiple of 66897 and 66909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66897 and 66909, than apply into the LCM equation.

GCF(66897,66909) = 3
LCM(66897,66909) = ( 66897 × 66909) / 3
LCM(66897,66909) = 4476011373 / 3
LCM(66897,66909) = 1492003791

Least Common Multiple (LCM) of 66897 and 66909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66897 and 66909. First we will calculate the prime factors of 66897 and 66909.

Prime Factorization of 66897

Prime factors of 66897 are 3, 7433. Prime factorization of 66897 in exponential form is:

66897 = 32 × 74331

Prime Factorization of 66909

Prime factors of 66909 are 3, 22303. Prime factorization of 66909 in exponential form is:

66909 = 31 × 223031

Now multiplying the highest exponent prime factors to calculate the LCM of 66897 and 66909.

LCM(66897,66909) = 32 × 74331 × 223031
LCM(66897,66909) = 1492003791