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What is the Least Common Multiple of 94670 and 94689?

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 94670 and 94689 is 8964207630.

LCM(94670,94689) = 8964207630

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Least Common Multiple of 94670 and 94689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94670 and 94689, than apply into the LCM equation.

GCF(94670,94689) = 1
LCM(94670,94689) = ( 94670 × 94689) / 1
LCM(94670,94689) = 8964207630 / 1
LCM(94670,94689) = 8964207630

Least Common Multiple (LCM) of 94670 and 94689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94670 and 94689. First we will calculate the prime factors of 94670 and 94689.

Prime Factorization of 94670

Prime factors of 94670 are 2, 5, 9467. Prime factorization of 94670 in exponential form is:

94670 = 21 × 51 × 94671

Prime Factorization of 94689

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

94689 = 34 × 71 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 94670 and 94689.

LCM(94670,94689) = 21 × 51 × 94671 × 34 × 71 × 1671
LCM(94670,94689) = 8964207630