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What is the Least Common Multiple of 66099 and 66117?

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 66099 and 66117 is 1456755861.

LCM(66099,66117) = 1456755861

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Least Common Multiple of 66099 and 66117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66099 and 66117, than apply into the LCM equation.

GCF(66099,66117) = 3
LCM(66099,66117) = ( 66099 × 66117) / 3
LCM(66099,66117) = 4370267583 / 3
LCM(66099,66117) = 1456755861

Least Common Multiple (LCM) of 66099 and 66117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66099 and 66117. First we will calculate the prime factors of 66099 and 66117.

Prime Factorization of 66099

Prime factors of 66099 are 3, 11, 2003. Prime factorization of 66099 in exponential form is:

66099 = 31 × 111 × 20031

Prime Factorization of 66117

Prime factors of 66117 are 3, 22039. Prime factorization of 66117 in exponential form is:

66117 = 31 × 220391

Now multiplying the highest exponent prime factors to calculate the LCM of 66099 and 66117.

LCM(66099,66117) = 31 × 111 × 20031 × 220391
LCM(66099,66117) = 1456755861