What is the Least Common Multiple of 16890 and 16895?

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 16895 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 16895, than apply into the LCM equation.

GCF(16890,16895) = 5
LCM(16890,16895) = ( 16890 × 16895) / 5
LCM(16890,16895) = 285356550 / 5
LCM(16890,16895) = 57071310

Least Common Multiple (LCM) of 16890 and 16895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16890 and 16895. First we will calculate the prime factors of 16890 and 16895.

Prime Factorization of 16890

Prime Factorization of 16895

Now multiplying the highest exponent prime factors to calculate the LCM of 16890 and 16895.

LCM(16890,16895) = 2¹ × 3¹ × 5¹ × 563¹ × 31¹ × 109¹
LCM(16890,16895) = 57071310