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What is the Least Common Multiple of 99473 and 99482?

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 99473 and 99482 is 9895772986.

LCM(99473,99482) = 9895772986

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Least Common Multiple of 99473 and 99482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99473 and 99482, than apply into the LCM equation.

GCF(99473,99482) = 1
LCM(99473,99482) = ( 99473 × 99482) / 1
LCM(99473,99482) = 9895772986 / 1
LCM(99473,99482) = 9895772986

Least Common Multiple (LCM) of 99473 and 99482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99473 and 99482. First we will calculate the prime factors of 99473 and 99482.

Prime Factorization of 99473

Prime factors of 99473 are 11, 9043. Prime factorization of 99473 in exponential form is:

99473 = 111 × 90431

Prime Factorization of 99482

Prime factors of 99482 are 2, 49741. Prime factorization of 99482 in exponential form is:

99482 = 21 × 497411

Now multiplying the highest exponent prime factors to calculate the LCM of 99473 and 99482.

LCM(99473,99482) = 111 × 90431 × 21 × 497411
LCM(99473,99482) = 9895772986