What is the Least Common Multiple of 16890 and 16896?

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 16890 and 16896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16890 and 16896, than apply into the LCM equation.

GCF(16890,16896) = 6
LCM(16890,16896) = ( 16890 × 16896) / 6
LCM(16890,16896) = 285373440 / 6
LCM(16890,16896) = 47562240

Least Common Multiple (LCM) of 16890 and 16896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16890 and 16896. First we will calculate the prime factors of 16890 and 16896.

Prime Factorization of 16890

Prime Factorization of 16896

Now multiplying the highest exponent prime factors to calculate the LCM of 16890 and 16896.

LCM(16890,16896) = 2⁹ × 3¹ × 5¹ × 563¹ × 11¹
LCM(16890,16896) = 47562240