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What is the Least Common Multiple of 97868 and 97881?

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 97868 and 97881 is 9579417708.

LCM(97868,97881) = 9579417708

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Least Common Multiple of 97868 and 97881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97868 and 97881, than apply into the LCM equation.

GCF(97868,97881) = 1
LCM(97868,97881) = ( 97868 × 97881) / 1
LCM(97868,97881) = 9579417708 / 1
LCM(97868,97881) = 9579417708

Least Common Multiple (LCM) of 97868 and 97881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97868 and 97881. First we will calculate the prime factors of 97868 and 97881.

Prime Factorization of 97868

Prime factors of 97868 are 2, 43, 569. Prime factorization of 97868 in exponential form is:

97868 = 22 × 431 × 5691

Prime Factorization of 97881

Prime factors of 97881 are 3, 7, 59, 79. Prime factorization of 97881 in exponential form is:

97881 = 31 × 71 × 591 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 97868 and 97881.

LCM(97868,97881) = 22 × 431 × 5691 × 31 × 71 × 591 × 791
LCM(97868,97881) = 9579417708