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What is the Least Common Multiple of 96218 and 96233?

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 96218 and 96233 is 9259346794.

LCM(96218,96233) = 9259346794

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Least Common Multiple of 96218 and 96233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96218 and 96233, than apply into the LCM equation.

GCF(96218,96233) = 1
LCM(96218,96233) = ( 96218 × 96233) / 1
LCM(96218,96233) = 9259346794 / 1
LCM(96218,96233) = 9259346794

Least Common Multiple (LCM) of 96218 and 96233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96218 and 96233. First we will calculate the prime factors of 96218 and 96233.

Prime Factorization of 96218

Prime factors of 96218 are 2, 48109. Prime factorization of 96218 in exponential form is:

96218 = 21 × 481091

Prime Factorization of 96233

Prime factors of 96233 are 96233. Prime factorization of 96233 in exponential form is:

96233 = 962331

Now multiplying the highest exponent prime factors to calculate the LCM of 96218 and 96233.

LCM(96218,96233) = 21 × 481091 × 962331
LCM(96218,96233) = 9259346794