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What is the Least Common Multiple of 94001 and 94018?

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 94001 and 94018 is 8837786018.

LCM(94001,94018) = 8837786018

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Least Common Multiple of 94001 and 94018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94001 and 94018, than apply into the LCM equation.

GCF(94001,94018) = 1
LCM(94001,94018) = ( 94001 × 94018) / 1
LCM(94001,94018) = 8837786018 / 1
LCM(94001,94018) = 8837786018

Least Common Multiple (LCM) of 94001 and 94018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94001 and 94018. First we will calculate the prime factors of 94001 and 94018.

Prime Factorization of 94001

Prime factors of 94001 are 23, 61, 67. Prime factorization of 94001 in exponential form is:

94001 = 231 × 611 × 671

Prime Factorization of 94018

Prime factors of 94018 are 2, 29, 1621. Prime factorization of 94018 in exponential form is:

94018 = 21 × 291 × 16211

Now multiplying the highest exponent prime factors to calculate the LCM of 94001 and 94018.

LCM(94001,94018) = 231 × 611 × 671 × 21 × 291 × 16211
LCM(94001,94018) = 8837786018