What is the Least Common Multiple of 16205 and 16219?

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 16219 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 16219, than apply into the LCM equation.

GCF(16205,16219) = 7
LCM(16205,16219) = ( 16205 × 16219) / 7
LCM(16205,16219) = 262828895 / 7
LCM(16205,16219) = 37546985

Least Common Multiple (LCM) of 16205 and 16219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16205 and 16219. First we will calculate the prime factors of 16205 and 16219.

Prime Factorization of 16205

Prime Factorization of 16219

Now multiplying the highest exponent prime factors to calculate the LCM of 16205 and 16219.

LCM(16205,16219) = 5¹ × 7² × 463¹ × 331¹
LCM(16205,16219) = 37546985