What is the Least Common Multiple of 16902 and 16910?

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 16902 and 16910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16902 and 16910, than apply into the LCM equation.

GCF(16902,16910) = 2
LCM(16902,16910) = ( 16902 × 16910) / 2
LCM(16902,16910) = 285812820 / 2
LCM(16902,16910) = 142906410

Least Common Multiple (LCM) of 16902 and 16910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16902 and 16910. First we will calculate the prime factors of 16902 and 16910.

Prime Factorization of 16902

Prime Factorization of 16910

Now multiplying the highest exponent prime factors to calculate the LCM of 16902 and 16910.

LCM(16902,16910) = 2¹ × 3³ × 313¹ × 5¹ × 19¹ × 89¹
LCM(16902,16910) = 142906410