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What is the Least Common Multiple of 97181 and 97199?

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 97181 and 97199 is 9445896019.

LCM(97181,97199) = 9445896019

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Least Common Multiple of 97181 and 97199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97181 and 97199, than apply into the LCM equation.

GCF(97181,97199) = 1
LCM(97181,97199) = ( 97181 × 97199) / 1
LCM(97181,97199) = 9445896019 / 1
LCM(97181,97199) = 9445896019

Least Common Multiple (LCM) of 97181 and 97199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97181 and 97199. First we will calculate the prime factors of 97181 and 97199.

Prime Factorization of 97181

Prime factors of 97181 are 7, 13883. Prime factorization of 97181 in exponential form is:

97181 = 71 × 138831

Prime Factorization of 97199

Prime factors of 97199 are 37, 71. Prime factorization of 97199 in exponential form is:

97199 = 372 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 97181 and 97199.

LCM(97181,97199) = 71 × 138831 × 372 × 711
LCM(97181,97199) = 9445896019