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What is the Least Common Multiple of 97829 and 97847?

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 97829 and 97847 is 9572274163.

LCM(97829,97847) = 9572274163

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Least Common Multiple of 97829 and 97847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97829 and 97847, than apply into the LCM equation.

GCF(97829,97847) = 1
LCM(97829,97847) = ( 97829 × 97847) / 1
LCM(97829,97847) = 9572274163 / 1
LCM(97829,97847) = 9572274163

Least Common Multiple (LCM) of 97829 and 97847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97829 and 97847. First we will calculate the prime factors of 97829 and 97847.

Prime Factorization of 97829

Prime factors of 97829 are 97829. Prime factorization of 97829 in exponential form is:

97829 = 978291

Prime Factorization of 97847

Prime factors of 97847 are 97847. Prime factorization of 97847 in exponential form is:

97847 = 978471

Now multiplying the highest exponent prime factors to calculate the LCM of 97829 and 97847.

LCM(97829,97847) = 978291 × 978471
LCM(97829,97847) = 9572274163