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What is the Least Common Multiple of 97906 and 97911?

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 97906 and 97911 is 9586074366.

LCM(97906,97911) = 9586074366

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Least Common Multiple of 97906 and 97911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97906 and 97911, than apply into the LCM equation.

GCF(97906,97911) = 1
LCM(97906,97911) = ( 97906 × 97911) / 1
LCM(97906,97911) = 9586074366 / 1
LCM(97906,97911) = 9586074366

Least Common Multiple (LCM) of 97906 and 97911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97906 and 97911. First we will calculate the prime factors of 97906 and 97911.

Prime Factorization of 97906

Prime factors of 97906 are 2, 48953. Prime factorization of 97906 in exponential form is:

97906 = 21 × 489531

Prime Factorization of 97911

Prime factors of 97911 are 3, 11, 23, 43. Prime factorization of 97911 in exponential form is:

97911 = 32 × 111 × 231 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 97906 and 97911.

LCM(97906,97911) = 21 × 489531 × 32 × 111 × 231 × 431
LCM(97906,97911) = 9586074366