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What is the Least Common Multiple of 98027 and 98033?

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 98027 and 98033 is 9609880891.

LCM(98027,98033) = 9609880891

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Least Common Multiple of 98027 and 98033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98027 and 98033, than apply into the LCM equation.

GCF(98027,98033) = 1
LCM(98027,98033) = ( 98027 × 98033) / 1
LCM(98027,98033) = 9609880891 / 1
LCM(98027,98033) = 9609880891

Least Common Multiple (LCM) of 98027 and 98033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98027 and 98033. First we will calculate the prime factors of 98027 and 98033.

Prime Factorization of 98027

Prime factors of 98027 are 61, 1607. Prime factorization of 98027 in exponential form is:

98027 = 611 × 16071

Prime Factorization of 98033

Prime factors of 98033 are 13, 7541. Prime factorization of 98033 in exponential form is:

98033 = 131 × 75411

Now multiplying the highest exponent prime factors to calculate the LCM of 98027 and 98033.

LCM(98027,98033) = 611 × 16071 × 131 × 75411
LCM(98027,98033) = 9609880891