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What is the Least Common Multiple of 69094 and 69114?

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 69094 and 69114 is 2387681358.

LCM(69094,69114) = 2387681358

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Least Common Multiple of 69094 and 69114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69094 and 69114, than apply into the LCM equation.

GCF(69094,69114) = 2
LCM(69094,69114) = ( 69094 × 69114) / 2
LCM(69094,69114) = 4775362716 / 2
LCM(69094,69114) = 2387681358

Least Common Multiple (LCM) of 69094 and 69114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69094 and 69114. First we will calculate the prime factors of 69094 and 69114.

Prime Factorization of 69094

Prime factors of 69094 are 2, 179, 193. Prime factorization of 69094 in exponential form is:

69094 = 21 × 1791 × 1931

Prime Factorization of 69114

Prime factors of 69114 are 2, 3, 11519. Prime factorization of 69114 in exponential form is:

69114 = 21 × 31 × 115191

Now multiplying the highest exponent prime factors to calculate the LCM of 69094 and 69114.

LCM(69094,69114) = 21 × 1791 × 1931 × 31 × 115191
LCM(69094,69114) = 2387681358