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What is the Least Common Multiple of 94683 and 94688?

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 94683 and 94688 is 8965343904.

LCM(94683,94688) = 8965343904

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Least Common Multiple of 94683 and 94688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94683 and 94688, than apply into the LCM equation.

GCF(94683,94688) = 1
LCM(94683,94688) = ( 94683 × 94688) / 1
LCM(94683,94688) = 8965343904 / 1
LCM(94683,94688) = 8965343904

Least Common Multiple (LCM) of 94683 and 94688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94683 and 94688. First we will calculate the prime factors of 94683 and 94688.

Prime Factorization of 94683

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

94683 = 31 × 371 × 8531

Prime Factorization of 94688

Prime factors of 94688 are 2, 11, 269. Prime factorization of 94688 in exponential form is:

94688 = 25 × 111 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 94683 and 94688.

LCM(94683,94688) = 31 × 371 × 8531 × 25 × 111 × 2691
LCM(94683,94688) = 8965343904