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What is the Least Common Multiple of 99069 and 99083?

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 99069 and 99083 is 9816053727.

LCM(99069,99083) = 9816053727

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Least Common Multiple of 99069 and 99083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99069 and 99083, than apply into the LCM equation.

GCF(99069,99083) = 1
LCM(99069,99083) = ( 99069 × 99083) / 1
LCM(99069,99083) = 9816053727 / 1
LCM(99069,99083) = 9816053727

Least Common Multiple (LCM) of 99069 and 99083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99069 and 99083. First we will calculate the prime factors of 99069 and 99083.

Prime Factorization of 99069

Prime factors of 99069 are 3, 33023. Prime factorization of 99069 in exponential form is:

99069 = 31 × 330231

Prime Factorization of 99083

Prime factors of 99083 are 99083. Prime factorization of 99083 in exponential form is:

99083 = 990831

Now multiplying the highest exponent prime factors to calculate the LCM of 99069 and 99083.

LCM(99069,99083) = 31 × 330231 × 990831
LCM(99069,99083) = 9816053727