What is the Least Common Multiple of 16268 and 16274?

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 16268 and 16274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16268 and 16274, than apply into the LCM equation.

GCF(16268,16274) = 2
LCM(16268,16274) = ( 16268 × 16274) / 2
LCM(16268,16274) = 264745432 / 2
LCM(16268,16274) = 132372716

Least Common Multiple (LCM) of 16268 and 16274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16268 and 16274. First we will calculate the prime factors of 16268 and 16274.

Prime Factorization of 16268

Prime Factorization of 16274

Now multiplying the highest exponent prime factors to calculate the LCM of 16268 and 16274.

LCM(16268,16274) = 2² × 7² × 83¹ × 79¹ × 103¹
LCM(16268,16274) = 132372716