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What is the Least Common Multiple of 96922 and 96927?

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 96922 and 96927 is 9394358694.

LCM(96922,96927) = 9394358694

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Least Common Multiple of 96922 and 96927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96922 and 96927, than apply into the LCM equation.

GCF(96922,96927) = 1
LCM(96922,96927) = ( 96922 × 96927) / 1
LCM(96922,96927) = 9394358694 / 1
LCM(96922,96927) = 9394358694

Least Common Multiple (LCM) of 96922 and 96927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96922 and 96927. First we will calculate the prime factors of 96922 and 96927.

Prime Factorization of 96922

Prime factors of 96922 are 2, 7, 23, 43. Prime factorization of 96922 in exponential form is:

96922 = 21 × 72 × 231 × 431

Prime Factorization of 96927

Prime factors of 96927 are 3, 32309. Prime factorization of 96927 in exponential form is:

96927 = 31 × 323091

Now multiplying the highest exponent prime factors to calculate the LCM of 96922 and 96927.

LCM(96922,96927) = 21 × 72 × 231 × 431 × 31 × 323091
LCM(96922,96927) = 9394358694