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What is the Least Common Multiple of 93002 and 93011?

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 93002 and 93011 is 8650209022.

LCM(93002,93011) = 8650209022

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Least Common Multiple of 93002 and 93011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93002 and 93011, than apply into the LCM equation.

GCF(93002,93011) = 1
LCM(93002,93011) = ( 93002 × 93011) / 1
LCM(93002,93011) = 8650209022 / 1
LCM(93002,93011) = 8650209022

Least Common Multiple (LCM) of 93002 and 93011 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93002 and 93011. First we will calculate the prime factors of 93002 and 93011.

Prime Factorization of 93002

Prime factors of 93002 are 2, 7, 13, 73. Prime factorization of 93002 in exponential form is:

93002 = 21 × 72 × 131 × 731

Prime Factorization of 93011

Prime factors of 93011 are 281, 331. Prime factorization of 93011 in exponential form is:

93011 = 2811 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 93002 and 93011.

LCM(93002,93011) = 21 × 72 × 131 × 731 × 2811 × 3311
LCM(93002,93011) = 8650209022