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What is the Least Common Multiple of 66099 and 66112?

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 66112 is 4369937088.

LCM(66099,66112) = 4369937088

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Least Common Multiple of 66099 and 66112 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 66112, than apply into the LCM equation.

GCF(66099,66112) = 1
LCM(66099,66112) = ( 66099 × 66112) / 1
LCM(66099,66112) = 4369937088 / 1
LCM(66099,66112) = 4369937088

Least Common Multiple (LCM) of 66099 and 66112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66099 and 66112. First we will calculate the prime factors of 66099 and 66112.

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 66112

Prime factors of 66112 are 2, 1033. Prime factorization of 66112 in exponential form is:

66112 = 26 × 10331

Now multiplying the highest exponent prime factors to calculate the LCM of 66099 and 66112.

LCM(66099,66112) = 31 × 111 × 20031 × 26 × 10331
LCM(66099,66112) = 4369937088