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What is the Least Common Multiple of 94390 and 94398?

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 94390 and 94398 is 4455113610.

LCM(94390,94398) = 4455113610

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Least Common Multiple of 94390 and 94398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94390 and 94398, than apply into the LCM equation.

GCF(94390,94398) = 2
LCM(94390,94398) = ( 94390 × 94398) / 2
LCM(94390,94398) = 8910227220 / 2
LCM(94390,94398) = 4455113610

Least Common Multiple (LCM) of 94390 and 94398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94390 and 94398. First we will calculate the prime factors of 94390 and 94398.

Prime Factorization of 94390

Prime factors of 94390 are 2, 5, 9439. Prime factorization of 94390 in exponential form is:

94390 = 21 × 51 × 94391

Prime Factorization of 94398

Prime factors of 94398 are 2, 3, 15733. Prime factorization of 94398 in exponential form is:

94398 = 21 × 31 × 157331

Now multiplying the highest exponent prime factors to calculate the LCM of 94390 and 94398.

LCM(94390,94398) = 21 × 51 × 94391 × 31 × 157331
LCM(94390,94398) = 4455113610