What is the Least Common Multiple of 16974 and 16989?

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 16974 and 16989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16974 and 16989, than apply into the LCM equation.

GCF(16974,16989) = 3
LCM(16974,16989) = ( 16974 × 16989) / 3
LCM(16974,16989) = 288371286 / 3
LCM(16974,16989) = 96123762

Least Common Multiple (LCM) of 16974 and 16989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16974 and 16989. First we will calculate the prime factors of 16974 and 16989.

Prime Factorization of 16974

Prime Factorization of 16989

Now multiplying the highest exponent prime factors to calculate the LCM of 16974 and 16989.

LCM(16974,16989) = 2¹ × 3² × 23¹ × 41¹ × 7¹ × 809¹
LCM(16974,16989) = 96123762