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What is the Least Common Multiple of 98366 and 98386?

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 98366 and 98386 is 4838918638.

LCM(98366,98386) = 4838918638

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Least Common Multiple of 98366 and 98386 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98366 and 98386, than apply into the LCM equation.

GCF(98366,98386) = 2
LCM(98366,98386) = ( 98366 × 98386) / 2
LCM(98366,98386) = 9677837276 / 2
LCM(98366,98386) = 4838918638

Least Common Multiple (LCM) of 98366 and 98386 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98366 and 98386. First we will calculate the prime factors of 98366 and 98386.

Prime Factorization of 98366

Prime factors of 98366 are 2, 137, 359. Prime factorization of 98366 in exponential form is:

98366 = 21 × 1371 × 3591

Prime Factorization of 98386

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

98386 = 21 × 491931

Now multiplying the highest exponent prime factors to calculate the LCM of 98366 and 98386.

LCM(98366,98386) = 21 × 1371 × 3591 × 491931
LCM(98366,98386) = 4838918638