What is the Least Common Multiple of 16430 and 16450?

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 16430 and 16450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16430 and 16450, than apply into the LCM equation.

GCF(16430,16450) = 10
LCM(16430,16450) = ( 16430 × 16450) / 10
LCM(16430,16450) = 270273500 / 10
LCM(16430,16450) = 27027350

Least Common Multiple (LCM) of 16430 and 16450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16430 and 16450. First we will calculate the prime factors of 16430 and 16450.

Prime Factorization of 16430

Prime Factorization of 16450

Now multiplying the highest exponent prime factors to calculate the LCM of 16430 and 16450.

LCM(16430,16450) = 2¹ × 5² × 31¹ × 53¹ × 7¹ × 47¹
LCM(16430,16450) = 27027350