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What is the Least Common Multiple of 98865 and 98876?

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 98865 and 98876 is 9775375740.

LCM(98865,98876) = 9775375740

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Least Common Multiple of 98865 and 98876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98865 and 98876, than apply into the LCM equation.

GCF(98865,98876) = 1
LCM(98865,98876) = ( 98865 × 98876) / 1
LCM(98865,98876) = 9775375740 / 1
LCM(98865,98876) = 9775375740

Least Common Multiple (LCM) of 98865 and 98876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98865 and 98876. First we will calculate the prime factors of 98865 and 98876.

Prime Factorization of 98865

Prime factors of 98865 are 3, 5, 13. Prime factorization of 98865 in exponential form is:

98865 = 32 × 51 × 133

Prime Factorization of 98876

Prime factors of 98876 are 2, 19, 1301. Prime factorization of 98876 in exponential form is:

98876 = 22 × 191 × 13011

Now multiplying the highest exponent prime factors to calculate the LCM of 98865 and 98876.

LCM(98865,98876) = 32 × 51 × 133 × 22 × 191 × 13011
LCM(98865,98876) = 9775375740