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What is the Least Common Multiple of 96667 and 96682?

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 96667 and 96682 is 9345958894.

LCM(96667,96682) = 9345958894

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Least Common Multiple of 96667 and 96682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96667 and 96682, than apply into the LCM equation.

GCF(96667,96682) = 1
LCM(96667,96682) = ( 96667 × 96682) / 1
LCM(96667,96682) = 9345958894 / 1
LCM(96667,96682) = 9345958894

Least Common Multiple (LCM) of 96667 and 96682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96667 and 96682. First we will calculate the prime factors of 96667 and 96682.

Prime Factorization of 96667

Prime factors of 96667 are 96667. Prime factorization of 96667 in exponential form is:

96667 = 966671

Prime Factorization of 96682

Prime factors of 96682 are 2, 48341. Prime factorization of 96682 in exponential form is:

96682 = 21 × 483411

Now multiplying the highest exponent prime factors to calculate the LCM of 96667 and 96682.

LCM(96667,96682) = 966671 × 21 × 483411
LCM(96667,96682) = 9345958894