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What is the Least Common Multiple of 94009 and 94014?

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 94009 and 94014 is 8838162126.

LCM(94009,94014) = 8838162126

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Least Common Multiple of 94009 and 94014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94009 and 94014, than apply into the LCM equation.

GCF(94009,94014) = 1
LCM(94009,94014) = ( 94009 × 94014) / 1
LCM(94009,94014) = 8838162126 / 1
LCM(94009,94014) = 8838162126

Least Common Multiple (LCM) of 94009 and 94014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94009 and 94014. First we will calculate the prime factors of 94009 and 94014.

Prime Factorization of 94009

Prime factors of 94009 are 94009. Prime factorization of 94009 in exponential form is:

94009 = 940091

Prime Factorization of 94014

Prime factors of 94014 are 2, 3, 1741. Prime factorization of 94014 in exponential form is:

94014 = 21 × 33 × 17411

Now multiplying the highest exponent prime factors to calculate the LCM of 94009 and 94014.

LCM(94009,94014) = 940091 × 21 × 33 × 17411
LCM(94009,94014) = 8838162126