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What is the Least Common Multiple of 98441 and 98451?

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 98441 and 98451 is 9691614891.

LCM(98441,98451) = 9691614891

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Least Common Multiple of 98441 and 98451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98441 and 98451, than apply into the LCM equation.

GCF(98441,98451) = 1
LCM(98441,98451) = ( 98441 × 98451) / 1
LCM(98441,98451) = 9691614891 / 1
LCM(98441,98451) = 9691614891

Least Common Multiple (LCM) of 98441 and 98451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98441 and 98451. First we will calculate the prime factors of 98441 and 98451.

Prime Factorization of 98441

Prime factors of 98441 are 7, 41. Prime factorization of 98441 in exponential form is:

98441 = 74 × 411

Prime Factorization of 98451

Prime factors of 98451 are 3, 10939. Prime factorization of 98451 in exponential form is:

98451 = 32 × 109391

Now multiplying the highest exponent prime factors to calculate the LCM of 98441 and 98451.

LCM(98441,98451) = 74 × 411 × 32 × 109391
LCM(98441,98451) = 9691614891