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What is the Least Common Multiple of 94600 and 94605?

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 94600 and 94605 is 1789926600.

LCM(94600,94605) = 1789926600

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Least Common Multiple of 94600 and 94605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94600 and 94605, than apply into the LCM equation.

GCF(94600,94605) = 5
LCM(94600,94605) = ( 94600 × 94605) / 5
LCM(94600,94605) = 8949633000 / 5
LCM(94600,94605) = 1789926600

Least Common Multiple (LCM) of 94600 and 94605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94600 and 94605. First we will calculate the prime factors of 94600 and 94605.

Prime Factorization of 94600

Prime factors of 94600 are 2, 5, 11, 43. Prime factorization of 94600 in exponential form is:

94600 = 23 × 52 × 111 × 431

Prime Factorization of 94605

Prime factors of 94605 are 3, 5, 7, 17, 53. Prime factorization of 94605 in exponential form is:

94605 = 31 × 51 × 71 × 171 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 94600 and 94605.

LCM(94600,94605) = 23 × 52 × 111 × 431 × 31 × 71 × 171 × 531
LCM(94600,94605) = 1789926600