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What is the Least Common Multiple of 94392 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 94392 and 94402 is 4455396792.

LCM(94392,94402) = 4455396792

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Least Common Multiple of 94392 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 94392 and 94402, than apply into the LCM equation.

GCF(94392,94402) = 2
LCM(94392,94402) = ( 94392 × 94402) / 2
LCM(94392,94402) = 8910793584 / 2
LCM(94392,94402) = 4455396792

Least Common Multiple (LCM) of 94392 and 94402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94392 and 94402. First we will calculate the prime factors of 94392 and 94402.

Prime Factorization of 94392

Prime factors of 94392 are 2, 3, 19, 23. Prime factorization of 94392 in exponential form is:

94392 = 23 × 33 × 191 × 231

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 94392 and 94402.

LCM(94392,94402) = 23 × 33 × 191 × 231 × 71 × 111 × 6131
LCM(94392,94402) = 4455396792