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What is the Least Common Multiple of 66283 and 66291?

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 66283 and 66291 is 4393966353.

LCM(66283,66291) = 4393966353

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Least Common Multiple of 66283 and 66291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66283 and 66291, than apply into the LCM equation.

GCF(66283,66291) = 1
LCM(66283,66291) = ( 66283 × 66291) / 1
LCM(66283,66291) = 4393966353 / 1
LCM(66283,66291) = 4393966353

Least Common Multiple (LCM) of 66283 and 66291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66283 and 66291. First we will calculate the prime factors of 66283 and 66291.

Prime Factorization of 66283

Prime factors of 66283 are 7, 17, 557. Prime factorization of 66283 in exponential form is:

66283 = 71 × 171 × 5571

Prime Factorization of 66291

Prime factors of 66291 are 3, 19, 1163. Prime factorization of 66291 in exponential form is:

66291 = 31 × 191 × 11631

Now multiplying the highest exponent prime factors to calculate the LCM of 66283 and 66291.

LCM(66283,66291) = 71 × 171 × 5571 × 31 × 191 × 11631
LCM(66283,66291) = 4393966353