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What is the Least Common Multiple of 96263 and 96267?

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 96263 and 96267 is 9266950221.

LCM(96263,96267) = 9266950221

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Least Common Multiple of 96263 and 96267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96263 and 96267, than apply into the LCM equation.

GCF(96263,96267) = 1
LCM(96263,96267) = ( 96263 × 96267) / 1
LCM(96263,96267) = 9266950221 / 1
LCM(96263,96267) = 9266950221

Least Common Multiple (LCM) of 96263 and 96267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96263 and 96267. First we will calculate the prime factors of 96263 and 96267.

Prime Factorization of 96263

Prime factors of 96263 are 96263. Prime factorization of 96263 in exponential form is:

96263 = 962631

Prime Factorization of 96267

Prime factors of 96267 are 3, 32089. Prime factorization of 96267 in exponential form is:

96267 = 31 × 320891

Now multiplying the highest exponent prime factors to calculate the LCM of 96263 and 96267.

LCM(96263,96267) = 962631 × 31 × 320891
LCM(96263,96267) = 9266950221