What is the Least Common Multiple of 16880 and 16897?

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 16880 and 16897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16880 and 16897, than apply into the LCM equation.

GCF(16880,16897) = 1
LCM(16880,16897) = ( 16880 × 16897) / 1
LCM(16880,16897) = 285221360 / 1
LCM(16880,16897) = 285221360

Least Common Multiple (LCM) of 16880 and 16897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16880 and 16897. First we will calculate the prime factors of 16880 and 16897.

Prime Factorization of 16880

Prime Factorization of 16897

Now multiplying the highest exponent prime factors to calculate the LCM of 16880 and 16897.

LCM(16880,16897) = 2⁴ × 5¹ × 211¹ × 61¹ × 277¹
LCM(16880,16897) = 285221360