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What is the Least Common Multiple of 97858 and 97863?

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 97858 and 97863 is 9576677454.

LCM(97858,97863) = 9576677454

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Least Common Multiple of 97858 and 97863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97858 and 97863, than apply into the LCM equation.

GCF(97858,97863) = 1
LCM(97858,97863) = ( 97858 × 97863) / 1
LCM(97858,97863) = 9576677454 / 1
LCM(97858,97863) = 9576677454

Least Common Multiple (LCM) of 97858 and 97863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97858 and 97863. First we will calculate the prime factors of 97858 and 97863.

Prime Factorization of 97858

Prime factors of 97858 are 2, 113, 433. Prime factorization of 97858 in exponential form is:

97858 = 21 × 1131 × 4331

Prime Factorization of 97863

Prime factors of 97863 are 3, 32621. Prime factorization of 97863 in exponential form is:

97863 = 31 × 326211

Now multiplying the highest exponent prime factors to calculate the LCM of 97858 and 97863.

LCM(97858,97863) = 21 × 1131 × 4331 × 31 × 326211
LCM(97858,97863) = 9576677454