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What is the Least Common Multiple of 98263 and 98275?

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 98263 and 98275 is 9656796325.

LCM(98263,98275) = 9656796325

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Least Common Multiple of 98263 and 98275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98263 and 98275, than apply into the LCM equation.

GCF(98263,98275) = 1
LCM(98263,98275) = ( 98263 × 98275) / 1
LCM(98263,98275) = 9656796325 / 1
LCM(98263,98275) = 9656796325

Least Common Multiple (LCM) of 98263 and 98275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98263 and 98275. First we will calculate the prime factors of 98263 and 98275.

Prime Factorization of 98263

Prime factors of 98263 are 11, 8933. Prime factorization of 98263 in exponential form is:

98263 = 111 × 89331

Prime Factorization of 98275

Prime factors of 98275 are 5, 3931. Prime factorization of 98275 in exponential form is:

98275 = 52 × 39311

Now multiplying the highest exponent prime factors to calculate the LCM of 98263 and 98275.

LCM(98263,98275) = 111 × 89331 × 52 × 39311
LCM(98263,98275) = 9656796325