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What is the Least Common Multiple of 99223 and 99230?

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 99223 and 99230 is 9845898290.

LCM(99223,99230) = 9845898290

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Least Common Multiple of 99223 and 99230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99223 and 99230, than apply into the LCM equation.

GCF(99223,99230) = 1
LCM(99223,99230) = ( 99223 × 99230) / 1
LCM(99223,99230) = 9845898290 / 1
LCM(99223,99230) = 9845898290

Least Common Multiple (LCM) of 99223 and 99230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99223 and 99230. First we will calculate the prime factors of 99223 and 99230.

Prime Factorization of 99223

Prime factors of 99223 are 99223. Prime factorization of 99223 in exponential form is:

99223 = 992231

Prime Factorization of 99230

Prime factors of 99230 are 2, 5, 9923. Prime factorization of 99230 in exponential form is:

99230 = 21 × 51 × 99231

Now multiplying the highest exponent prime factors to calculate the LCM of 99223 and 99230.

LCM(99223,99230) = 992231 × 21 × 51 × 99231
LCM(99223,99230) = 9845898290