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What is the Least Common Multiple of 98033 and 98042?

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 98042 is 9611351386.

LCM(98033,98042) = 9611351386

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Least Common Multiple of 98033 and 98042 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 98042, than apply into the LCM equation.

GCF(98033,98042) = 1
LCM(98033,98042) = ( 98033 × 98042) / 1
LCM(98033,98042) = 9611351386 / 1
LCM(98033,98042) = 9611351386

Least Common Multiple (LCM) of 98033 and 98042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98033 and 98042. First we will calculate the prime factors of 98033 and 98042.

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 98042

Prime factors of 98042 are 2, 7, 47, 149. Prime factorization of 98042 in exponential form is:

98042 = 21 × 71 × 471 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 98033 and 98042.

LCM(98033,98042) = 131 × 75411 × 21 × 71 × 471 × 1491
LCM(98033,98042) = 9611351386