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What is the Least Common Multiple of 98033 and 98045?

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 98033 and 98045 is 9611645485.

LCM(98033,98045) = 9611645485

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Least Common Multiple of 98033 and 98045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98033 and 98045, than apply into the LCM equation.

GCF(98033,98045) = 1
LCM(98033,98045) = ( 98033 × 98045) / 1
LCM(98033,98045) = 9611645485 / 1
LCM(98033,98045) = 9611645485

Least Common Multiple (LCM) of 98033 and 98045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98033 and 98045. First we will calculate the prime factors of 98033 and 98045.

Prime Factorization of 98033

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

98033 = 131 × 75411

Prime Factorization of 98045

Prime factors of 98045 are 5, 19609. Prime factorization of 98045 in exponential form is:

98045 = 51 × 196091

Now multiplying the highest exponent prime factors to calculate the LCM of 98033 and 98045.

LCM(98033,98045) = 131 × 75411 × 51 × 196091
LCM(98033,98045) = 9611645485