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What is the Least Common Multiple of 18991 and 18997?

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 18991 and 18997 is 360772027.

LCM(18991,18997) = 360772027

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Least Common Multiple of 18991 and 18997 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18991 and 18997, than apply into the LCM equation.

GCF(18991,18997) = 1
LCM(18991,18997) = ( 18991 × 18997) / 1
LCM(18991,18997) = 360772027 / 1
LCM(18991,18997) = 360772027

Least Common Multiple (LCM) of 18991 and 18997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18991 and 18997. First we will calculate the prime factors of 18991 and 18997.

Prime Factorization of 18991

Prime factors of 18991 are 7, 2713. Prime factorization of 18991 in exponential form is:

18991 = 71 × 27131

Prime Factorization of 18997

Prime factors of 18997 are 11, 157. Prime factorization of 18997 in exponential form is:

18997 = 112 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 18991 and 18997.

LCM(18991,18997) = 71 × 27131 × 112 × 1571
LCM(18991,18997) = 360772027