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What is the Least Common Multiple of 94677 and 94683?

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 94677 and 94683 is 2988100797.

LCM(94677,94683) = 2988100797

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Least Common Multiple of 94677 and 94683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94677 and 94683, than apply into the LCM equation.

GCF(94677,94683) = 3
LCM(94677,94683) = ( 94677 × 94683) / 3
LCM(94677,94683) = 8964302391 / 3
LCM(94677,94683) = 2988100797

Least Common Multiple (LCM) of 94677 and 94683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94677 and 94683. First we will calculate the prime factors of 94677 and 94683.

Prime Factorization of 94677

Prime factors of 94677 are 3, 11, 19, 151. Prime factorization of 94677 in exponential form is:

94677 = 31 × 111 × 191 × 1511

Prime Factorization of 94683

Prime factors of 94683 are 3, 37, 853. Prime factorization of 94683 in exponential form is:

94683 = 31 × 371 × 8531

Now multiplying the highest exponent prime factors to calculate the LCM of 94677 and 94683.

LCM(94677,94683) = 31 × 111 × 191 × 1511 × 371 × 8531
LCM(94677,94683) = 2988100797