What is the Least Common Multiple of 16300 and 16315?

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 16300 and 16315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16300 and 16315, than apply into the LCM equation.

GCF(16300,16315) = 5
LCM(16300,16315) = ( 16300 × 16315) / 5
LCM(16300,16315) = 265934500 / 5
LCM(16300,16315) = 53186900

Least Common Multiple (LCM) of 16300 and 16315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16300 and 16315. First we will calculate the prime factors of 16300 and 16315.

Prime Factorization of 16300

Prime Factorization of 16315

Now multiplying the highest exponent prime factors to calculate the LCM of 16300 and 16315.

LCM(16300,16315) = 2² × 5² × 163¹ × 13¹ × 251¹
LCM(16300,16315) = 53186900