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What is the Least Common Multiple of 66009 and 66016?

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 66009 and 66016 is 4357650144.

LCM(66009,66016) = 4357650144

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Least Common Multiple of 66009 and 66016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66009 and 66016, than apply into the LCM equation.

GCF(66009,66016) = 1
LCM(66009,66016) = ( 66009 × 66016) / 1
LCM(66009,66016) = 4357650144 / 1
LCM(66009,66016) = 4357650144

Least Common Multiple (LCM) of 66009 and 66016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66009 and 66016. First we will calculate the prime factors of 66009 and 66016.

Prime Factorization of 66009

Prime factors of 66009 are 3, 22003. Prime factorization of 66009 in exponential form is:

66009 = 31 × 220031

Prime Factorization of 66016

Prime factors of 66016 are 2, 2063. Prime factorization of 66016 in exponential form is:

66016 = 25 × 20631

Now multiplying the highest exponent prime factors to calculate the LCM of 66009 and 66016.

LCM(66009,66016) = 31 × 220031 × 25 × 20631
LCM(66009,66016) = 4357650144