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What is the Least Common Multiple of 98433 and 98449?

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 98433 and 98449 is 9690630417.

LCM(98433,98449) = 9690630417

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Least Common Multiple of 98433 and 98449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98433 and 98449, than apply into the LCM equation.

GCF(98433,98449) = 1
LCM(98433,98449) = ( 98433 × 98449) / 1
LCM(98433,98449) = 9690630417 / 1
LCM(98433,98449) = 9690630417

Least Common Multiple (LCM) of 98433 and 98449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98433 and 98449. First we will calculate the prime factors of 98433 and 98449.

Prime Factorization of 98433

Prime factors of 98433 are 3, 10937. Prime factorization of 98433 in exponential form is:

98433 = 32 × 109371

Prime Factorization of 98449

Prime factors of 98449 are 13, 7573. Prime factorization of 98449 in exponential form is:

98449 = 131 × 75731

Now multiplying the highest exponent prime factors to calculate the LCM of 98433 and 98449.

LCM(98433,98449) = 32 × 109371 × 131 × 75731
LCM(98433,98449) = 9690630417