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What is the Least Common Multiple of 99947 and 99963?

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 99947 and 99963 is 9991001961.

LCM(99947,99963) = 9991001961

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Least Common Multiple of 99947 and 99963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99947 and 99963, than apply into the LCM equation.

GCF(99947,99963) = 1
LCM(99947,99963) = ( 99947 × 99963) / 1
LCM(99947,99963) = 9991001961 / 1
LCM(99947,99963) = 9991001961

Least Common Multiple (LCM) of 99947 and 99963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99947 and 99963. First we will calculate the prime factors of 99947 and 99963.

Prime Factorization of 99947

Prime factors of 99947 are 89, 1123. Prime factorization of 99947 in exponential form is:

99947 = 891 × 11231

Prime Factorization of 99963

Prime factors of 99963 are 3, 29, 383. Prime factorization of 99963 in exponential form is:

99963 = 32 × 291 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 99947 and 99963.

LCM(99947,99963) = 891 × 11231 × 32 × 291 × 3831
LCM(99947,99963) = 9991001961