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What is the Least Common Multiple of 66066 and 66071?

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 66066 and 66071 is 4365046686.

LCM(66066,66071) = 4365046686

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Least Common Multiple of 66066 and 66071 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66066 and 66071, than apply into the LCM equation.

GCF(66066,66071) = 1
LCM(66066,66071) = ( 66066 × 66071) / 1
LCM(66066,66071) = 4365046686 / 1
LCM(66066,66071) = 4365046686

Least Common Multiple (LCM) of 66066 and 66071 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66066 and 66071. First we will calculate the prime factors of 66066 and 66071.

Prime Factorization of 66066

Prime factors of 66066 are 2, 3, 7, 11, 13. Prime factorization of 66066 in exponential form is:

66066 = 21 × 31 × 71 × 112 × 131

Prime Factorization of 66071

Prime factors of 66071 are 66071. Prime factorization of 66071 in exponential form is:

66071 = 660711

Now multiplying the highest exponent prime factors to calculate the LCM of 66066 and 66071.

LCM(66066,66071) = 21 × 31 × 71 × 112 × 131 × 660711
LCM(66066,66071) = 4365046686