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What is the Least Common Multiple of 94249 and 94266?

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 94249 and 94266 is 8884476234.

LCM(94249,94266) = 8884476234

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Least Common Multiple of 94249 and 94266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94249 and 94266, than apply into the LCM equation.

GCF(94249,94266) = 1
LCM(94249,94266) = ( 94249 × 94266) / 1
LCM(94249,94266) = 8884476234 / 1
LCM(94249,94266) = 8884476234

Least Common Multiple (LCM) of 94249 and 94266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94249 and 94266. First we will calculate the prime factors of 94249 and 94266.

Prime Factorization of 94249

Prime factors of 94249 are 307. Prime factorization of 94249 in exponential form is:

94249 = 3072

Prime Factorization of 94266

Prime factors of 94266 are 2, 3, 5237. Prime factorization of 94266 in exponential form is:

94266 = 21 × 32 × 52371

Now multiplying the highest exponent prime factors to calculate the LCM of 94249 and 94266.

LCM(94249,94266) = 3072 × 21 × 32 × 52371
LCM(94249,94266) = 8884476234