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What is the Least Common Multiple of 66656 and 66667?

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 66656 and 66667 is 4443755552.

LCM(66656,66667) = 4443755552

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Least Common Multiple of 66656 and 66667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66656 and 66667, than apply into the LCM equation.

GCF(66656,66667) = 1
LCM(66656,66667) = ( 66656 × 66667) / 1
LCM(66656,66667) = 4443755552 / 1
LCM(66656,66667) = 4443755552

Least Common Multiple (LCM) of 66656 and 66667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66656 and 66667. First we will calculate the prime factors of 66656 and 66667.

Prime Factorization of 66656

Prime factors of 66656 are 2, 2083. Prime factorization of 66656 in exponential form is:

66656 = 25 × 20831

Prime Factorization of 66667

Prime factors of 66667 are 163, 409. Prime factorization of 66667 in exponential form is:

66667 = 1631 × 4091

Now multiplying the highest exponent prime factors to calculate the LCM of 66656 and 66667.

LCM(66656,66667) = 25 × 20831 × 1631 × 4091
LCM(66656,66667) = 4443755552