What is the Least Common Multiple of 16225 and 16236?

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 16225 and 16236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16225 and 16236, than apply into the LCM equation.

GCF(16225,16236) = 11
LCM(16225,16236) = ( 16225 × 16236) / 11
LCM(16225,16236) = 263429100 / 11
LCM(16225,16236) = 23948100

Least Common Multiple (LCM) of 16225 and 16236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16225 and 16236. First we will calculate the prime factors of 16225 and 16236.

Prime Factorization of 16225

Prime Factorization of 16236

Now multiplying the highest exponent prime factors to calculate the LCM of 16225 and 16236.

LCM(16225,16236) = 5² × 11¹ × 59¹ × 2² × 3² × 41¹
LCM(16225,16236) = 23948100