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What is the Least Common Multiple of 66070 and 66086?

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 66070 and 66086 is 2183151010.

LCM(66070,66086) = 2183151010

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Least Common Multiple of 66070 and 66086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66070 and 66086, than apply into the LCM equation.

GCF(66070,66086) = 2
LCM(66070,66086) = ( 66070 × 66086) / 2
LCM(66070,66086) = 4366302020 / 2
LCM(66070,66086) = 2183151010

Least Common Multiple (LCM) of 66070 and 66086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66070 and 66086. First we will calculate the prime factors of 66070 and 66086.

Prime Factorization of 66070

Prime factors of 66070 are 2, 5, 6607. Prime factorization of 66070 in exponential form is:

66070 = 21 × 51 × 66071

Prime Factorization of 66086

Prime factors of 66086 are 2, 173, 191. Prime factorization of 66086 in exponential form is:

66086 = 21 × 1731 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 66070 and 66086.

LCM(66070,66086) = 21 × 51 × 66071 × 1731 × 1911
LCM(66070,66086) = 2183151010