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What is the Least Common Multiple of 98055 and 98069?

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 98055 and 98069 is 9616155795.

LCM(98055,98069) = 9616155795

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Least Common Multiple of 98055 and 98069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98055 and 98069, than apply into the LCM equation.

GCF(98055,98069) = 1
LCM(98055,98069) = ( 98055 × 98069) / 1
LCM(98055,98069) = 9616155795 / 1
LCM(98055,98069) = 9616155795

Least Common Multiple (LCM) of 98055 and 98069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98055 and 98069. First we will calculate the prime factors of 98055 and 98069.

Prime Factorization of 98055

Prime factors of 98055 are 3, 5, 2179. Prime factorization of 98055 in exponential form is:

98055 = 32 × 51 × 21791

Prime Factorization of 98069

Prime factors of 98069 are 281, 349. Prime factorization of 98069 in exponential form is:

98069 = 2811 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 98055 and 98069.

LCM(98055,98069) = 32 × 51 × 21791 × 2811 × 3491
LCM(98055,98069) = 9616155795