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What is the Least Common Multiple of 66799 and 66818?

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 66818 is 4463375582.

LCM(66799,66818) = 4463375582

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Least Common Multiple of 66799 and 66818 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 66818, than apply into the LCM equation.

GCF(66799,66818) = 1
LCM(66799,66818) = ( 66799 × 66818) / 1
LCM(66799,66818) = 4463375582 / 1
LCM(66799,66818) = 4463375582

Least Common Multiple (LCM) of 66799 and 66818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66799 and 66818. First we will calculate the prime factors of 66799 and 66818.

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 66818

Prime factors of 66818 are 2, 33409. Prime factorization of 66818 in exponential form is:

66818 = 21 × 334091

Now multiplying the highest exponent prime factors to calculate the LCM of 66799 and 66818.

LCM(66799,66818) = 671 × 9971 × 21 × 334091
LCM(66799,66818) = 4463375582