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What is the Least Common Multiple of 98264 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 98264 and 98275 is 9656894600.

LCM(98264,98275) = 9656894600

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Least Common Multiple of 98264 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 98264 and 98275, than apply into the LCM equation.

GCF(98264,98275) = 1
LCM(98264,98275) = ( 98264 × 98275) / 1
LCM(98264,98275) = 9656894600 / 1
LCM(98264,98275) = 9656894600

Least Common Multiple (LCM) of 98264 and 98275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98264 and 98275. First we will calculate the prime factors of 98264 and 98275.

Prime Factorization of 98264

Prime factors of 98264 are 2, 71, 173. Prime factorization of 98264 in exponential form is:

98264 = 23 × 711 × 1731

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 98264 and 98275.

LCM(98264,98275) = 23 × 711 × 1731 × 52 × 39311
LCM(98264,98275) = 9656894600