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What is the Least Common Multiple of 94184 and 94203?

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 94184 and 94203 is 8872415352.

LCM(94184,94203) = 8872415352

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Least Common Multiple of 94184 and 94203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94184 and 94203, than apply into the LCM equation.

GCF(94184,94203) = 1
LCM(94184,94203) = ( 94184 × 94203) / 1
LCM(94184,94203) = 8872415352 / 1
LCM(94184,94203) = 8872415352

Least Common Multiple (LCM) of 94184 and 94203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94184 and 94203. First we will calculate the prime factors of 94184 and 94203.

Prime Factorization of 94184

Prime factors of 94184 are 2, 61, 193. Prime factorization of 94184 in exponential form is:

94184 = 23 × 611 × 1931

Prime Factorization of 94203

Prime factors of 94203 are 3, 1163. Prime factorization of 94203 in exponential form is:

94203 = 34 × 11631

Now multiplying the highest exponent prime factors to calculate the LCM of 94184 and 94203.

LCM(94184,94203) = 23 × 611 × 1931 × 34 × 11631
LCM(94184,94203) = 8872415352