What is the Least Common Multiple of 16245 and 16264?

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 16245 and 16264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16245 and 16264, than apply into the LCM equation.

GCF(16245,16264) = 19
LCM(16245,16264) = ( 16245 × 16264) / 19
LCM(16245,16264) = 264208680 / 19
LCM(16245,16264) = 13905720

Least Common Multiple (LCM) of 16245 and 16264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16245 and 16264. First we will calculate the prime factors of 16245 and 16264.

Prime Factorization of 16245

Prime Factorization of 16264

Now multiplying the highest exponent prime factors to calculate the LCM of 16245 and 16264.

LCM(16245,16264) = 3² × 5¹ × 19² × 2³ × 107¹
LCM(16245,16264) = 13905720