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What is the Least Common Multiple of 16989 and 16998?

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 16989 and 16998 is 96259674.

LCM(16989,16998) = 96259674

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Least Common Multiple of 16989 and 16998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16989 and 16998, than apply into the LCM equation.

GCF(16989,16998) = 3
LCM(16989,16998) = ( 16989 × 16998) / 3
LCM(16989,16998) = 288779022 / 3
LCM(16989,16998) = 96259674

Least Common Multiple (LCM) of 16989 and 16998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16989 and 16998. First we will calculate the prime factors of 16989 and 16998.

Prime Factorization of 16989

Prime factors of 16989 are 3, 7, 809. Prime factorization of 16989 in exponential form is:

16989 = 31 × 71 × 8091

Prime Factorization of 16998

Prime factors of 16998 are 2, 3, 2833. Prime factorization of 16998 in exponential form is:

16998 = 21 × 31 × 28331

Now multiplying the highest exponent prime factors to calculate the LCM of 16989 and 16998.

LCM(16989,16998) = 31 × 71 × 8091 × 21 × 28331
LCM(16989,16998) = 96259674