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What is the Least Common Multiple of 94690 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 94690 and 94706 is 4483855570.

LCM(94690,94706) = 4483855570

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Least Common Multiple of 94690 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 94690 and 94706, than apply into the LCM equation.

GCF(94690,94706) = 2
LCM(94690,94706) = ( 94690 × 94706) / 2
LCM(94690,94706) = 8967711140 / 2
LCM(94690,94706) = 4483855570

Least Common Multiple (LCM) of 94690 and 94706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94690 and 94706. First we will calculate the prime factors of 94690 and 94706.

Prime Factorization of 94690

Prime factors of 94690 are 2, 5, 17, 557. Prime factorization of 94690 in exponential form is:

94690 = 21 × 51 × 171 × 5571

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 94690 and 94706.

LCM(94690,94706) = 21 × 51 × 171 × 5571 × 473531
LCM(94690,94706) = 4483855570