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What is the Least Common Multiple of 30993 and 30997?

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 30993 and 30997 is 960690021.

LCM(30993,30997) = 960690021

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Least Common Multiple of 30993 and 30997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30993 and 30997, than apply into the LCM equation.

GCF(30993,30997) = 1
LCM(30993,30997) = ( 30993 × 30997) / 1
LCM(30993,30997) = 960690021 / 1
LCM(30993,30997) = 960690021

Least Common Multiple (LCM) of 30993 and 30997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30993 and 30997. First we will calculate the prime factors of 30993 and 30997.

Prime Factorization of 30993

Prime factors of 30993 are 3, 10331. Prime factorization of 30993 in exponential form is:

30993 = 31 × 103311

Prime Factorization of 30997

Prime factors of 30997 are 139, 223. Prime factorization of 30997 in exponential form is:

30997 = 1391 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 30993 and 30997.

LCM(30993,30997) = 31 × 103311 × 1391 × 2231
LCM(30993,30997) = 960690021