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What is the Least Common Multiple of 94745 and 94749?

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 94745 and 94749 is 8976994005.

LCM(94745,94749) = 8976994005

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Least Common Multiple of 94745 and 94749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94745 and 94749, than apply into the LCM equation.

GCF(94745,94749) = 1
LCM(94745,94749) = ( 94745 × 94749) / 1
LCM(94745,94749) = 8976994005 / 1
LCM(94745,94749) = 8976994005

Least Common Multiple (LCM) of 94745 and 94749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94745 and 94749. First we will calculate the prime factors of 94745 and 94749.

Prime Factorization of 94745

Prime factors of 94745 are 5, 7, 2707. Prime factorization of 94745 in exponential form is:

94745 = 51 × 71 × 27071

Prime Factorization of 94749

Prime factors of 94749 are 3, 31583. Prime factorization of 94749 in exponential form is:

94749 = 31 × 315831

Now multiplying the highest exponent prime factors to calculate the LCM of 94745 and 94749.

LCM(94745,94749) = 51 × 71 × 27071 × 31 × 315831
LCM(94745,94749) = 8976994005