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What is the Least Common Multiple of 97191 and 97204?

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 97191 and 97204 is 9447353964.

LCM(97191,97204) = 9447353964

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Least Common Multiple of 97191 and 97204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97191 and 97204, than apply into the LCM equation.

GCF(97191,97204) = 1
LCM(97191,97204) = ( 97191 × 97204) / 1
LCM(97191,97204) = 9447353964 / 1
LCM(97191,97204) = 9447353964

Least Common Multiple (LCM) of 97191 and 97204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97191 and 97204. First we will calculate the prime factors of 97191 and 97204.

Prime Factorization of 97191

Prime factors of 97191 are 3, 10799. Prime factorization of 97191 in exponential form is:

97191 = 32 × 107991

Prime Factorization of 97204

Prime factors of 97204 are 2, 19, 1279. Prime factorization of 97204 in exponential form is:

97204 = 22 × 191 × 12791

Now multiplying the highest exponent prime factors to calculate the LCM of 97191 and 97204.

LCM(97191,97204) = 32 × 107991 × 22 × 191 × 12791
LCM(97191,97204) = 9447353964