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What is the Least Common Multiple of 94391 and 94402?

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 94391 and 94402 is 810063562.

LCM(94391,94402) = 810063562

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Least Common Multiple of 94391 and 94402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94391 and 94402, than apply into the LCM equation.

GCF(94391,94402) = 11
LCM(94391,94402) = ( 94391 × 94402) / 11
LCM(94391,94402) = 8910699182 / 11
LCM(94391,94402) = 810063562

Least Common Multiple (LCM) of 94391 and 94402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94391 and 94402. First we will calculate the prime factors of 94391 and 94402.

Prime Factorization of 94391

Prime factors of 94391 are 11, 8581. Prime factorization of 94391 in exponential form is:

94391 = 111 × 85811

Prime Factorization of 94402

Prime factors of 94402 are 2, 7, 11, 613. Prime factorization of 94402 in exponential form is:

94402 = 21 × 71 × 111 × 6131

Now multiplying the highest exponent prime factors to calculate the LCM of 94391 and 94402.

LCM(94391,94402) = 111 × 85811 × 21 × 71 × 6131
LCM(94391,94402) = 810063562