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What is the Least Common Multiple of 94417 and 94426?

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 94417 and 94426 is 8915419642.

LCM(94417,94426) = 8915419642

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Least Common Multiple of 94417 and 94426 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94417 and 94426, than apply into the LCM equation.

GCF(94417,94426) = 1
LCM(94417,94426) = ( 94417 × 94426) / 1
LCM(94417,94426) = 8915419642 / 1
LCM(94417,94426) = 8915419642

Least Common Multiple (LCM) of 94417 and 94426 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94417 and 94426. First we will calculate the prime factors of 94417 and 94426.

Prime Factorization of 94417

Prime factors of 94417 are 263, 359. Prime factorization of 94417 in exponential form is:

94417 = 2631 × 3591

Prime Factorization of 94426

Prime factors of 94426 are 2, 31, 1523. Prime factorization of 94426 in exponential form is:

94426 = 21 × 311 × 15231

Now multiplying the highest exponent prime factors to calculate the LCM of 94417 and 94426.

LCM(94417,94426) = 2631 × 3591 × 21 × 311 × 15231
LCM(94417,94426) = 8915419642