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What is the Least Common Multiple of 94689 and 94706?

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 94689 and 94706 is 8967616434.

LCM(94689,94706) = 8967616434

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Least Common Multiple of 94689 and 94706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94689 and 94706, than apply into the LCM equation.

GCF(94689,94706) = 1
LCM(94689,94706) = ( 94689 × 94706) / 1
LCM(94689,94706) = 8967616434 / 1
LCM(94689,94706) = 8967616434

Least Common Multiple (LCM) of 94689 and 94706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94689 and 94706. First we will calculate the prime factors of 94689 and 94706.

Prime Factorization of 94689

Prime factors of 94689 are 3, 7, 167. Prime factorization of 94689 in exponential form is:

94689 = 34 × 71 × 1671

Prime Factorization of 94706

Prime factors of 94706 are 2, 47353. Prime factorization of 94706 in exponential form is:

94706 = 21 × 473531

Now multiplying the highest exponent prime factors to calculate the LCM of 94689 and 94706.

LCM(94689,94706) = 34 × 71 × 1671 × 21 × 473531
LCM(94689,94706) = 8967616434