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What is the Least Common Multiple of 97831 and 97841?

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 97831 and 97841 is 9571882871.

LCM(97831,97841) = 9571882871

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Least Common Multiple of 97831 and 97841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97831 and 97841, than apply into the LCM equation.

GCF(97831,97841) = 1
LCM(97831,97841) = ( 97831 × 97841) / 1
LCM(97831,97841) = 9571882871 / 1
LCM(97831,97841) = 9571882871

Least Common Multiple (LCM) of 97831 and 97841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97831 and 97841. First we will calculate the prime factors of 97831 and 97841.

Prime Factorization of 97831

Prime factors of 97831 are 19, 271. Prime factorization of 97831 in exponential form is:

97831 = 192 × 2711

Prime Factorization of 97841

Prime factors of 97841 are 97841. Prime factorization of 97841 in exponential form is:

97841 = 978411

Now multiplying the highest exponent prime factors to calculate the LCM of 97831 and 97841.

LCM(97831,97841) = 192 × 2711 × 978411
LCM(97831,97841) = 9571882871