What is the Least Common Multiple of 16205 and 16213?

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 16205 and 16213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16205 and 16213, than apply into the LCM equation.

GCF(16205,16213) = 1
LCM(16205,16213) = ( 16205 × 16213) / 1
LCM(16205,16213) = 262731665 / 1
LCM(16205,16213) = 262731665

Least Common Multiple (LCM) of 16205 and 16213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16205 and 16213. First we will calculate the prime factors of 16205 and 16213.

Prime Factorization of 16205

Prime Factorization of 16213

Now multiplying the highest exponent prime factors to calculate the LCM of 16205 and 16213.

LCM(16205,16213) = 5¹ × 7¹ × 463¹ × 31¹ × 523¹
LCM(16205,16213) = 262731665