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What is the Least Common Multiple of 94190 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 94190 and 94203 is 8872980570.

LCM(94190,94203) = 8872980570

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Least Common Multiple of 94190 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 94190 and 94203, than apply into the LCM equation.

GCF(94190,94203) = 1
LCM(94190,94203) = ( 94190 × 94203) / 1
LCM(94190,94203) = 8872980570 / 1
LCM(94190,94203) = 8872980570

Least Common Multiple (LCM) of 94190 and 94203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94190 and 94203. First we will calculate the prime factors of 94190 and 94203.

Prime Factorization of 94190

Prime factors of 94190 are 2, 5, 9419. Prime factorization of 94190 in exponential form is:

94190 = 21 × 51 × 94191

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 94190 and 94203.

LCM(94190,94203) = 21 × 51 × 94191 × 34 × 11631
LCM(94190,94203) = 8872980570