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What is the Least Common Multiple of 94547 and 94558?

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 94547 and 94558 is 8940175226.

LCM(94547,94558) = 8940175226

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Least Common Multiple of 94547 and 94558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94547 and 94558, than apply into the LCM equation.

GCF(94547,94558) = 1
LCM(94547,94558) = ( 94547 × 94558) / 1
LCM(94547,94558) = 8940175226 / 1
LCM(94547,94558) = 8940175226

Least Common Multiple (LCM) of 94547 and 94558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94547 and 94558. First we will calculate the prime factors of 94547 and 94558.

Prime Factorization of 94547

Prime factors of 94547 are 94547. Prime factorization of 94547 in exponential form is:

94547 = 945471

Prime Factorization of 94558

Prime factors of 94558 are 2, 47279. Prime factorization of 94558 in exponential form is:

94558 = 21 × 472791

Now multiplying the highest exponent prime factors to calculate the LCM of 94547 and 94558.

LCM(94547,94558) = 945471 × 21 × 472791
LCM(94547,94558) = 8940175226