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What is the Least Common Multiple of 66890 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 66890 and 66909 is 4475543010.

LCM(66890,66909) = 4475543010

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Least Common Multiple of 66890 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 66890 and 66909, than apply into the LCM equation.

GCF(66890,66909) = 1
LCM(66890,66909) = ( 66890 × 66909) / 1
LCM(66890,66909) = 4475543010 / 1
LCM(66890,66909) = 4475543010

Least Common Multiple (LCM) of 66890 and 66909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66890 and 66909. First we will calculate the prime factors of 66890 and 66909.

Prime Factorization of 66890

Prime factors of 66890 are 2, 5, 6689. Prime factorization of 66890 in exponential form is:

66890 = 21 × 51 × 66891

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 66890 and 66909.

LCM(66890,66909) = 21 × 51 × 66891 × 31 × 223031
LCM(66890,66909) = 4475543010