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What is the Least Common Multiple of 99071 and 99081?

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 99071 and 99081 is 9816053751.

LCM(99071,99081) = 9816053751

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Least Common Multiple of 99071 and 99081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99071 and 99081, than apply into the LCM equation.

GCF(99071,99081) = 1
LCM(99071,99081) = ( 99071 × 99081) / 1
LCM(99071,99081) = 9816053751 / 1
LCM(99071,99081) = 9816053751

Least Common Multiple (LCM) of 99071 and 99081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99071 and 99081. First we will calculate the prime factors of 99071 and 99081.

Prime Factorization of 99071

Prime factors of 99071 are 7, 14153. Prime factorization of 99071 in exponential form is:

99071 = 71 × 141531

Prime Factorization of 99081

Prime factors of 99081 are 3, 101, 109. Prime factorization of 99081 in exponential form is:

99081 = 32 × 1011 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 99071 and 99081.

LCM(99071,99081) = 71 × 141531 × 32 × 1011 × 1091
LCM(99071,99081) = 9816053751