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What is the Least Common Multiple of 98386 and 98390?

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 98390 is 4840099270.

LCM(98386,98390) = 4840099270

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Least Common Multiple of 98386 and 98390 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 98390, than apply into the LCM equation.

GCF(98386,98390) = 2
LCM(98386,98390) = ( 98386 × 98390) / 2
LCM(98386,98390) = 9680198540 / 2
LCM(98386,98390) = 4840099270

Least Common Multiple (LCM) of 98386 and 98390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98386 and 98390. First we will calculate the prime factors of 98386 and 98390.

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 98390

Prime factors of 98390 are 2, 5, 9839. Prime factorization of 98390 in exponential form is:

98390 = 21 × 51 × 98391

Now multiplying the highest exponent prime factors to calculate the LCM of 98386 and 98390.

LCM(98386,98390) = 21 × 491931 × 51 × 98391
LCM(98386,98390) = 4840099270