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What is the Least Common Multiple of 66332 and 66338?

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 66332 and 66338 is 2200166108.

LCM(66332,66338) = 2200166108

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Least Common Multiple of 66332 and 66338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66332 and 66338, than apply into the LCM equation.

GCF(66332,66338) = 2
LCM(66332,66338) = ( 66332 × 66338) / 2
LCM(66332,66338) = 4400332216 / 2
LCM(66332,66338) = 2200166108

Least Common Multiple (LCM) of 66332 and 66338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66332 and 66338. First we will calculate the prime factors of 66332 and 66338.

Prime Factorization of 66332

Prime factors of 66332 are 2, 7, 23, 103. Prime factorization of 66332 in exponential form is:

66332 = 22 × 71 × 231 × 1031

Prime Factorization of 66338

Prime factors of 66338 are 2, 41, 809. Prime factorization of 66338 in exponential form is:

66338 = 21 × 411 × 8091

Now multiplying the highest exponent prime factors to calculate the LCM of 66332 and 66338.

LCM(66332,66338) = 22 × 71 × 231 × 1031 × 411 × 8091
LCM(66332,66338) = 2200166108