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What is the Least Common Multiple of 94006 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 94006 and 94014 is 4418940042.

LCM(94006,94014) = 4418940042

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Least Common Multiple of 94006 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 94006 and 94014, than apply into the LCM equation.

GCF(94006,94014) = 2
LCM(94006,94014) = ( 94006 × 94014) / 2
LCM(94006,94014) = 8837880084 / 2
LCM(94006,94014) = 4418940042

Least Common Multiple (LCM) of 94006 and 94014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94006 and 94014. First we will calculate the prime factors of 94006 and 94014.

Prime Factorization of 94006

Prime factors of 94006 are 2, 11, 4273. Prime factorization of 94006 in exponential form is:

94006 = 21 × 111 × 42731

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 94006 and 94014.

LCM(94006,94014) = 21 × 111 × 42731 × 33 × 17411
LCM(94006,94014) = 4418940042