What is the Least Common Multiple of 16308 and 16318?

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 16308 and 16318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16308 and 16318, than apply into the LCM equation.

GCF(16308,16318) = 2
LCM(16308,16318) = ( 16308 × 16318) / 2
LCM(16308,16318) = 266113944 / 2
LCM(16308,16318) = 133056972

Least Common Multiple (LCM) of 16308 and 16318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16308 and 16318. First we will calculate the prime factors of 16308 and 16318.

Prime Factorization of 16308

Prime Factorization of 16318

Now multiplying the highest exponent prime factors to calculate the LCM of 16308 and 16318.

LCM(16308,16318) = 2² × 3³ × 151¹ × 41¹ × 199¹
LCM(16308,16318) = 133056972