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What is the Least Common Multiple of 97286 and 97303?

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 97286 and 97303 is 9466219658.

LCM(97286,97303) = 9466219658

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Least Common Multiple of 97286 and 97303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97286 and 97303, than apply into the LCM equation.

GCF(97286,97303) = 1
LCM(97286,97303) = ( 97286 × 97303) / 1
LCM(97286,97303) = 9466219658 / 1
LCM(97286,97303) = 9466219658

Least Common Multiple (LCM) of 97286 and 97303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97286 and 97303. First we will calculate the prime factors of 97286 and 97303.

Prime Factorization of 97286

Prime factors of 97286 are 2, 7, 6949. Prime factorization of 97286 in exponential form is:

97286 = 21 × 71 × 69491

Prime Factorization of 97303

Prime factors of 97303 are 97303. Prime factorization of 97303 in exponential form is:

97303 = 973031

Now multiplying the highest exponent prime factors to calculate the LCM of 97286 and 97303.

LCM(97286,97303) = 21 × 71 × 69491 × 973031
LCM(97286,97303) = 9466219658