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What is the Least Common Multiple of 993 and 1013?

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 993 and 1013 is 1005909.

LCM(993,1013) = 1005909

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Least Common Multiple of 993 and 1013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 993 and 1013, than apply into the LCM equation.

GCF(993,1013) = 1
LCM(993,1013) = ( 993 × 1013) / 1
LCM(993,1013) = 1005909 / 1
LCM(993,1013) = 1005909

Least Common Multiple (LCM) of 993 and 1013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 993 and 1013. First we will calculate the prime factors of 993 and 1013.

Prime Factorization of 993

Prime factors of 993 are 3, 331. Prime factorization of 993 in exponential form is:

993 = 31 × 3311

Prime Factorization of 1013

Prime factors of 1013 are 1013. Prime factorization of 1013 in exponential form is:

1013 = 10131

Now multiplying the highest exponent prime factors to calculate the LCM of 993 and 1013.

LCM(993,1013) = 31 × 3311 × 10131
LCM(993,1013) = 1005909