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What is the Least Common Multiple of 98278 and 98287?

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 98278 and 98287 is 9659449786.

LCM(98278,98287) = 9659449786

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Least Common Multiple of 98278 and 98287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98278 and 98287, than apply into the LCM equation.

GCF(98278,98287) = 1
LCM(98278,98287) = ( 98278 × 98287) / 1
LCM(98278,98287) = 9659449786 / 1
LCM(98278,98287) = 9659449786

Least Common Multiple (LCM) of 98278 and 98287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98278 and 98287. First we will calculate the prime factors of 98278 and 98287.

Prime Factorization of 98278

Prime factors of 98278 are 2, 49139. Prime factorization of 98278 in exponential form is:

98278 = 21 × 491391

Prime Factorization of 98287

Prime factors of 98287 are 7, 19, 739. Prime factorization of 98287 in exponential form is:

98287 = 71 × 191 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 98278 and 98287.

LCM(98278,98287) = 21 × 491391 × 71 × 191 × 7391
LCM(98278,98287) = 9659449786