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What is the Least Common Multiple of 97847 and 97851?

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 97847 and 97851 is 9574426797.

LCM(97847,97851) = 9574426797

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Least Common Multiple of 97847 and 97851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97847 and 97851, than apply into the LCM equation.

GCF(97847,97851) = 1
LCM(97847,97851) = ( 97847 × 97851) / 1
LCM(97847,97851) = 9574426797 / 1
LCM(97847,97851) = 9574426797

Least Common Multiple (LCM) of 97847 and 97851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97847 and 97851. First we will calculate the prime factors of 97847 and 97851.

Prime Factorization of 97847

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

97847 = 978471

Prime Factorization of 97851

Prime factors of 97851 are 3, 13, 193. Prime factorization of 97851 in exponential form is:

97851 = 31 × 132 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 97847 and 97851.

LCM(97847,97851) = 978471 × 31 × 132 × 1931
LCM(97847,97851) = 9574426797