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What is the Least Common Multiple of 93011 and 93020?

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 93011 and 93020 is 8651883220.

LCM(93011,93020) = 8651883220

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Least Common Multiple of 93011 and 93020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93011 and 93020, than apply into the LCM equation.

GCF(93011,93020) = 1
LCM(93011,93020) = ( 93011 × 93020) / 1
LCM(93011,93020) = 8651883220 / 1
LCM(93011,93020) = 8651883220

Least Common Multiple (LCM) of 93011 and 93020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93011 and 93020. First we will calculate the prime factors of 93011 and 93020.

Prime Factorization of 93011

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

93011 = 2811 × 3311

Prime Factorization of 93020

Prime factors of 93020 are 2, 5, 4651. Prime factorization of 93020 in exponential form is:

93020 = 22 × 51 × 46511

Now multiplying the highest exponent prime factors to calculate the LCM of 93011 and 93020.

LCM(93011,93020) = 2811 × 3311 × 22 × 51 × 46511
LCM(93011,93020) = 8651883220