What is the Least Common Multiple of 18989 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 of 18989 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 18989 and 18997, than apply into the LCM equation.

GCF(18989,18997) = 1
LCM(18989,18997) = ( 18989 × 18997) / 1
LCM(18989,18997) = 360734033 / 1
LCM(18989,18997) = 360734033

Least Common Multiple (LCM) of 18989 and 18997 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18989 and 18997. First we will calculate the prime factors of 18989 and 18997.

Prime Factorization of 18989

Prime Factorization of 18997

Now multiplying the highest exponent prime factors to calculate the LCM of 18989 and 18997.

LCM(18989,18997) = 17¹ × 1117¹ × 11² × 157¹
LCM(18989,18997) = 360734033