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What is the Least Common Multiple of 66799 and 66814?

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 66799 and 66814 is 4463108386.

LCM(66799,66814) = 4463108386

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Least Common Multiple of 66799 and 66814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66799 and 66814, than apply into the LCM equation.

GCF(66799,66814) = 1
LCM(66799,66814) = ( 66799 × 66814) / 1
LCM(66799,66814) = 4463108386 / 1
LCM(66799,66814) = 4463108386

Least Common Multiple (LCM) of 66799 and 66814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66799 and 66814. First we will calculate the prime factors of 66799 and 66814.

Prime Factorization of 66799

Prime factors of 66799 are 67, 997. Prime factorization of 66799 in exponential form is:

66799 = 671 × 9971

Prime Factorization of 66814

Prime factors of 66814 are 2, 11, 3037. Prime factorization of 66814 in exponential form is:

66814 = 21 × 111 × 30371

Now multiplying the highest exponent prime factors to calculate the LCM of 66799 and 66814.

LCM(66799,66814) = 671 × 9971 × 21 × 111 × 30371
LCM(66799,66814) = 4463108386