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What is the Least Common Multiple of 98910 and 98929?

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 98910 and 98929 is 9785067390.

LCM(98910,98929) = 9785067390

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Least Common Multiple of 98910 and 98929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98910 and 98929, than apply into the LCM equation.

GCF(98910,98929) = 1
LCM(98910,98929) = ( 98910 × 98929) / 1
LCM(98910,98929) = 9785067390 / 1
LCM(98910,98929) = 9785067390

Least Common Multiple (LCM) of 98910 and 98929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98910 and 98929. First we will calculate the prime factors of 98910 and 98929.

Prime Factorization of 98910

Prime factors of 98910 are 2, 3, 5, 7, 157. Prime factorization of 98910 in exponential form is:

98910 = 21 × 32 × 51 × 71 × 1571

Prime Factorization of 98929

Prime factors of 98929 are 98929. Prime factorization of 98929 in exponential form is:

98929 = 989291

Now multiplying the highest exponent prime factors to calculate the LCM of 98910 and 98929.

LCM(98910,98929) = 21 × 32 × 51 × 71 × 1571 × 989291
LCM(98910,98929) = 9785067390