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What is the Least Common Multiple of 94193 and 94201?

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 94193 and 94201 is 8873074793.

LCM(94193,94201) = 8873074793

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Least Common Multiple of 94193 and 94201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94193 and 94201, than apply into the LCM equation.

GCF(94193,94201) = 1
LCM(94193,94201) = ( 94193 × 94201) / 1
LCM(94193,94201) = 8873074793 / 1
LCM(94193,94201) = 8873074793

Least Common Multiple (LCM) of 94193 and 94201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94193 and 94201. First we will calculate the prime factors of 94193 and 94201.

Prime Factorization of 94193

Prime factors of 94193 are 11, 8563. Prime factorization of 94193 in exponential form is:

94193 = 111 × 85631

Prime Factorization of 94201

Prime factors of 94201 are 94201. Prime factorization of 94201 in exponential form is:

94201 = 942011

Now multiplying the highest exponent prime factors to calculate the LCM of 94193 and 94201.

LCM(94193,94201) = 111 × 85631 × 942011
LCM(94193,94201) = 8873074793