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What is the Least Common Multiple of 94279 and 94295?

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 94279 and 94295 is 8890038305.

LCM(94279,94295) = 8890038305

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Least Common Multiple of 94279 and 94295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94279 and 94295, than apply into the LCM equation.

GCF(94279,94295) = 1
LCM(94279,94295) = ( 94279 × 94295) / 1
LCM(94279,94295) = 8890038305 / 1
LCM(94279,94295) = 8890038305

Least Common Multiple (LCM) of 94279 and 94295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94279 and 94295. First we will calculate the prime factors of 94279 and 94295.

Prime Factorization of 94279

Prime factors of 94279 are 29, 3251. Prime factorization of 94279 in exponential form is:

94279 = 291 × 32511

Prime Factorization of 94295

Prime factors of 94295 are 5, 18859. Prime factorization of 94295 in exponential form is:

94295 = 51 × 188591

Now multiplying the highest exponent prime factors to calculate the LCM of 94279 and 94295.

LCM(94279,94295) = 291 × 32511 × 51 × 188591
LCM(94279,94295) = 8890038305