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What is the Least Common Multiple of 98652 and 98669?

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 98652 and 98669 is 9733894188.

LCM(98652,98669) = 9733894188

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Least Common Multiple of 98652 and 98669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98652 and 98669, than apply into the LCM equation.

GCF(98652,98669) = 1
LCM(98652,98669) = ( 98652 × 98669) / 1
LCM(98652,98669) = 9733894188 / 1
LCM(98652,98669) = 9733894188

Least Common Multiple (LCM) of 98652 and 98669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98652 and 98669. First we will calculate the prime factors of 98652 and 98669.

Prime Factorization of 98652

Prime factors of 98652 are 2, 3, 8221. Prime factorization of 98652 in exponential form is:

98652 = 22 × 31 × 82211

Prime Factorization of 98669

Prime factors of 98669 are 98669. Prime factorization of 98669 in exponential form is:

98669 = 986691

Now multiplying the highest exponent prime factors to calculate the LCM of 98652 and 98669.

LCM(98652,98669) = 22 × 31 × 82211 × 986691
LCM(98652,98669) = 9733894188