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What is the Least Common Multiple of 66802 and 66806?

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 66802 and 66806 is 2231387206.

LCM(66802,66806) = 2231387206

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Least Common Multiple of 66802 and 66806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66802 and 66806, than apply into the LCM equation.

GCF(66802,66806) = 2
LCM(66802,66806) = ( 66802 × 66806) / 2
LCM(66802,66806) = 4462774412 / 2
LCM(66802,66806) = 2231387206

Least Common Multiple (LCM) of 66802 and 66806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66802 and 66806. First we will calculate the prime factors of 66802 and 66806.

Prime Factorization of 66802

Prime factors of 66802 are 2, 127, 263. Prime factorization of 66802 in exponential form is:

66802 = 21 × 1271 × 2631

Prime Factorization of 66806

Prime factors of 66806 are 2, 33403. Prime factorization of 66806 in exponential form is:

66806 = 21 × 334031

Now multiplying the highest exponent prime factors to calculate the LCM of 66802 and 66806.

LCM(66802,66806) = 21 × 1271 × 2631 × 334031
LCM(66802,66806) = 2231387206