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What is the Least Common Multiple of 97287 and 97294?

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 97287 and 97294 is 9465441378.

LCM(97287,97294) = 9465441378

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Least Common Multiple of 97287 and 97294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97287 and 97294, than apply into the LCM equation.

GCF(97287,97294) = 1
LCM(97287,97294) = ( 97287 × 97294) / 1
LCM(97287,97294) = 9465441378 / 1
LCM(97287,97294) = 9465441378

Least Common Multiple (LCM) of 97287 and 97294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97287 and 97294. First we will calculate the prime factors of 97287 and 97294.

Prime Factorization of 97287

Prime factors of 97287 are 3, 32429. Prime factorization of 97287 in exponential form is:

97287 = 31 × 324291

Prime Factorization of 97294

Prime factors of 97294 are 2, 48647. Prime factorization of 97294 in exponential form is:

97294 = 21 × 486471

Now multiplying the highest exponent prime factors to calculate the LCM of 97287 and 97294.

LCM(97287,97294) = 31 × 324291 × 21 × 486471
LCM(97287,97294) = 9465441378