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What is the Least Common Multiple of 98386 and 98392?

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 98386 and 98392 is 4840197656.

LCM(98386,98392) = 4840197656

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Least Common Multiple of 98386 and 98392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98386 and 98392, than apply into the LCM equation.

GCF(98386,98392) = 2
LCM(98386,98392) = ( 98386 × 98392) / 2
LCM(98386,98392) = 9680395312 / 2
LCM(98386,98392) = 4840197656

Least Common Multiple (LCM) of 98386 and 98392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98386 and 98392. First we will calculate the prime factors of 98386 and 98392.

Prime Factorization of 98386

Prime factors of 98386 are 2, 49193. Prime factorization of 98386 in exponential form is:

98386 = 21 × 491931

Prime Factorization of 98392

Prime factors of 98392 are 2, 7, 251. Prime factorization of 98392 in exponential form is:

98392 = 23 × 72 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 98386 and 98392.

LCM(98386,98392) = 23 × 491931 × 72 × 2511
LCM(98386,98392) = 4840197656