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What is the Least Common Multiple of 98882 and 98893?

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 98882 and 98893 is 9778737626.

LCM(98882,98893) = 9778737626

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Least Common Multiple of 98882 and 98893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98882 and 98893, than apply into the LCM equation.

GCF(98882,98893) = 1
LCM(98882,98893) = ( 98882 × 98893) / 1
LCM(98882,98893) = 9778737626 / 1
LCM(98882,98893) = 9778737626

Least Common Multiple (LCM) of 98882 and 98893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98882 and 98893. First we will calculate the prime factors of 98882 and 98893.

Prime Factorization of 98882

Prime factors of 98882 are 2, 7, 1009. Prime factorization of 98882 in exponential form is:

98882 = 21 × 72 × 10091

Prime Factorization of 98893

Prime factors of 98893 are 98893. Prime factorization of 98893 in exponential form is:

98893 = 988931

Now multiplying the highest exponent prime factors to calculate the LCM of 98882 and 98893.

LCM(98882,98893) = 21 × 72 × 10091 × 988931
LCM(98882,98893) = 9778737626