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What is the Least Common Multiple of 97795 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 97795 and 97799 is 9564253205.

LCM(97795,97799) = 9564253205

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Least Common Multiple of 97795 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 97795 and 97799, than apply into the LCM equation.

GCF(97795,97799) = 1
LCM(97795,97799) = ( 97795 × 97799) / 1
LCM(97795,97799) = 9564253205 / 1
LCM(97795,97799) = 9564253205

Least Common Multiple (LCM) of 97795 and 97799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97795 and 97799. First we will calculate the prime factors of 97795 and 97799.

Prime Factorization of 97795

Prime factors of 97795 are 5, 19559. Prime factorization of 97795 in exponential form is:

97795 = 51 × 195591

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 97795 and 97799.

LCM(97795,97799) = 51 × 195591 × 131 × 75231
LCM(97795,97799) = 9564253205