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What is the Least Common Multiple of 96689 and 96694?

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 96689 and 96694 is 9349246166.

LCM(96689,96694) = 9349246166

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Least Common Multiple of 96689 and 96694 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96689 and 96694, than apply into the LCM equation.

GCF(96689,96694) = 1
LCM(96689,96694) = ( 96689 × 96694) / 1
LCM(96689,96694) = 9349246166 / 1
LCM(96689,96694) = 9349246166

Least Common Multiple (LCM) of 96689 and 96694 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96689 and 96694. First we will calculate the prime factors of 96689 and 96694.

Prime Factorization of 96689

Prime factors of 96689 are 31, 3119. Prime factorization of 96689 in exponential form is:

96689 = 311 × 31191

Prime Factorization of 96694

Prime factors of 96694 are 2, 13, 3719. Prime factorization of 96694 in exponential form is:

96694 = 21 × 131 × 37191

Now multiplying the highest exponent prime factors to calculate the LCM of 96689 and 96694.

LCM(96689,96694) = 311 × 31191 × 21 × 131 × 37191
LCM(96689,96694) = 9349246166