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What is the Least Common Multiple of 97363 and 97372?

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 97363 and 97372 is 9480430036.

LCM(97363,97372) = 9480430036

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Least Common Multiple of 97363 and 97372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97363 and 97372, than apply into the LCM equation.

GCF(97363,97372) = 1
LCM(97363,97372) = ( 97363 × 97372) / 1
LCM(97363,97372) = 9480430036 / 1
LCM(97363,97372) = 9480430036

Least Common Multiple (LCM) of 97363 and 97372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97363 and 97372. First we will calculate the prime factors of 97363 and 97372.

Prime Factorization of 97363

Prime factors of 97363 are 7, 1987. Prime factorization of 97363 in exponential form is:

97363 = 72 × 19871

Prime Factorization of 97372

Prime factors of 97372 are 2, 11, 2213. Prime factorization of 97372 in exponential form is:

97372 = 22 × 111 × 22131

Now multiplying the highest exponent prime factors to calculate the LCM of 97363 and 97372.

LCM(97363,97372) = 72 × 19871 × 22 × 111 × 22131
LCM(97363,97372) = 9480430036