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What is the Least Common Multiple of 66106 and 66114?

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 66106 and 66114 is 2185266042.

LCM(66106,66114) = 2185266042

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Least Common Multiple of 66106 and 66114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66106 and 66114, than apply into the LCM equation.

GCF(66106,66114) = 2
LCM(66106,66114) = ( 66106 × 66114) / 2
LCM(66106,66114) = 4370532084 / 2
LCM(66106,66114) = 2185266042

Least Common Multiple (LCM) of 66106 and 66114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66106 and 66114. First we will calculate the prime factors of 66106 and 66114.

Prime Factorization of 66106

Prime factors of 66106 are 2, 33053. Prime factorization of 66106 in exponential form is:

66106 = 21 × 330531

Prime Factorization of 66114

Prime factors of 66114 are 2, 3, 3673. Prime factorization of 66114 in exponential form is:

66114 = 21 × 32 × 36731

Now multiplying the highest exponent prime factors to calculate the LCM of 66106 and 66114.

LCM(66106,66114) = 21 × 330531 × 32 × 36731
LCM(66106,66114) = 2185266042