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What is the Least Common Multiple of 94031 and 94044?

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 94031 and 94044 is 8843051364.

LCM(94031,94044) = 8843051364

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Least Common Multiple of 94031 and 94044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94031 and 94044, than apply into the LCM equation.

GCF(94031,94044) = 1
LCM(94031,94044) = ( 94031 × 94044) / 1
LCM(94031,94044) = 8843051364 / 1
LCM(94031,94044) = 8843051364

Least Common Multiple (LCM) of 94031 and 94044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94031 and 94044. First we will calculate the prime factors of 94031 and 94044.

Prime Factorization of 94031

Prime factors of 94031 are 7, 19, 101. Prime factorization of 94031 in exponential form is:

94031 = 72 × 191 × 1011

Prime Factorization of 94044

Prime factors of 94044 are 2, 3, 17, 461. Prime factorization of 94044 in exponential form is:

94044 = 22 × 31 × 171 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 94031 and 94044.

LCM(94031,94044) = 72 × 191 × 1011 × 22 × 31 × 171 × 4611
LCM(94031,94044) = 8843051364