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What is the Least Common Multiple of 94745 and 94757?

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 94757 is 8977751965.

LCM(94745,94757) = 8977751965

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Least Common Multiple of 94745 and 94757 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 94757, than apply into the LCM equation.

GCF(94745,94757) = 1
LCM(94745,94757) = ( 94745 × 94757) / 1
LCM(94745,94757) = 8977751965 / 1
LCM(94745,94757) = 8977751965

Least Common Multiple (LCM) of 94745 and 94757 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94745 and 94757. First we will calculate the prime factors of 94745 and 94757.

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 94757

Prime factors of 94757 are 13, 37, 197. Prime factorization of 94757 in exponential form is:

94757 = 131 × 371 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 94745 and 94757.

LCM(94745,94757) = 51 × 71 × 27071 × 131 × 371 × 1971
LCM(94745,94757) = 8977751965