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What is the Least Common Multiple of 98320 and 98327?

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 98320 and 98327 is 9667510640.

LCM(98320,98327) = 9667510640

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Least Common Multiple of 98320 and 98327 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98320 and 98327, than apply into the LCM equation.

GCF(98320,98327) = 1
LCM(98320,98327) = ( 98320 × 98327) / 1
LCM(98320,98327) = 9667510640 / 1
LCM(98320,98327) = 9667510640

Least Common Multiple (LCM) of 98320 and 98327 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98320 and 98327. First we will calculate the prime factors of 98320 and 98327.

Prime Factorization of 98320

Prime factors of 98320 are 2, 5, 1229. Prime factorization of 98320 in exponential form is:

98320 = 24 × 51 × 12291

Prime Factorization of 98327

Prime factors of 98327 are 98327. Prime factorization of 98327 in exponential form is:

98327 = 983271

Now multiplying the highest exponent prime factors to calculate the LCM of 98320 and 98327.

LCM(98320,98327) = 24 × 51 × 12291 × 983271
LCM(98320,98327) = 9667510640