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What is the Least Common Multiple of 94646 and 94663?

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 94646 and 94663 is 8959474298.

LCM(94646,94663) = 8959474298

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Least Common Multiple of 94646 and 94663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94646 and 94663, than apply into the LCM equation.

GCF(94646,94663) = 1
LCM(94646,94663) = ( 94646 × 94663) / 1
LCM(94646,94663) = 8959474298 / 1
LCM(94646,94663) = 8959474298

Least Common Multiple (LCM) of 94646 and 94663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94646 and 94663. First we will calculate the prime factors of 94646 and 94663.

Prime Factorization of 94646

Prime factors of 94646 are 2, 37, 1279. Prime factorization of 94646 in exponential form is:

94646 = 21 × 371 × 12791

Prime Factorization of 94663

Prime factors of 94663 are 181, 523. Prime factorization of 94663 in exponential form is:

94663 = 1811 × 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 94646 and 94663.

LCM(94646,94663) = 21 × 371 × 12791 × 1811 × 5231
LCM(94646,94663) = 8959474298