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What is the Least Common Multiple of 97786 and 97799?

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 97786 and 97799 is 735644078.

LCM(97786,97799) = 735644078

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Least Common Multiple of 97786 and 97799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97786 and 97799, than apply into the LCM equation.

GCF(97786,97799) = 13
LCM(97786,97799) = ( 97786 × 97799) / 13
LCM(97786,97799) = 9563373014 / 13
LCM(97786,97799) = 735644078

Least Common Multiple (LCM) of 97786 and 97799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97786 and 97799. First we will calculate the prime factors of 97786 and 97799.

Prime Factorization of 97786

Prime factors of 97786 are 2, 13, 3761. Prime factorization of 97786 in exponential form is:

97786 = 21 × 131 × 37611

Prime Factorization of 97799

Prime factors of 97799 are 13, 7523. Prime factorization of 97799 in exponential form is:

97799 = 131 × 75231

Now multiplying the highest exponent prime factors to calculate the LCM of 97786 and 97799.

LCM(97786,97799) = 21 × 131 × 37611 × 75231
LCM(97786,97799) = 735644078