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What is the Least Common Multiple of 94219 and 94230?

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 94219 and 94230 is 8878256370.

LCM(94219,94230) = 8878256370

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Least Common Multiple of 94219 and 94230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94219 and 94230, than apply into the LCM equation.

GCF(94219,94230) = 1
LCM(94219,94230) = ( 94219 × 94230) / 1
LCM(94219,94230) = 8878256370 / 1
LCM(94219,94230) = 8878256370

Least Common Multiple (LCM) of 94219 and 94230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94219 and 94230. First we will calculate the prime factors of 94219 and 94230.

Prime Factorization of 94219

Prime factors of 94219 are 94219. Prime factorization of 94219 in exponential form is:

94219 = 942191

Prime Factorization of 94230

Prime factors of 94230 are 2, 3, 5, 349. Prime factorization of 94230 in exponential form is:

94230 = 21 × 33 × 51 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 94219 and 94230.

LCM(94219,94230) = 942191 × 21 × 33 × 51 × 3491
LCM(94219,94230) = 8878256370