What is the Least Common Multiple of 20268 and 20274?

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 20268 and 20274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20268 and 20274, than apply into the LCM equation.

GCF(20268,20274) = 6
LCM(20268,20274) = ( 20268 × 20274) / 6
LCM(20268,20274) = 410913432 / 6
LCM(20268,20274) = 68485572

Least Common Multiple (LCM) of 20268 and 20274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20268 and 20274. First we will calculate the prime factors of 20268 and 20274.

Prime Factorization of 20268

Prime Factorization of 20274

Now multiplying the highest exponent prime factors to calculate the LCM of 20268 and 20274.

LCM(20268,20274) = 2² × 3² × 563¹ × 31¹ × 109¹
LCM(20268,20274) = 68485572