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What is the Least Common Multiple of 96423 and 96433?

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 96423 and 96433 is 9298359159.

LCM(96423,96433) = 9298359159

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Least Common Multiple of 96423 and 96433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96423 and 96433, than apply into the LCM equation.

GCF(96423,96433) = 1
LCM(96423,96433) = ( 96423 × 96433) / 1
LCM(96423,96433) = 9298359159 / 1
LCM(96423,96433) = 9298359159

Least Common Multiple (LCM) of 96423 and 96433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96423 and 96433. First we will calculate the prime factors of 96423 and 96433.

Prime Factorization of 96423

Prime factors of 96423 are 3, 32141. Prime factorization of 96423 in exponential form is:

96423 = 31 × 321411

Prime Factorization of 96433

Prime factors of 96433 are 73, 1321. Prime factorization of 96433 in exponential form is:

96433 = 731 × 13211

Now multiplying the highest exponent prime factors to calculate the LCM of 96423 and 96433.

LCM(96423,96433) = 31 × 321411 × 731 × 13211
LCM(96423,96433) = 9298359159