What is the Least Common Multiple of 10268 and 10274?

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 10268 and 10274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10268 and 10274, than apply into the LCM equation.

GCF(10268,10274) = 2
LCM(10268,10274) = ( 10268 × 10274) / 2
LCM(10268,10274) = 105493432 / 2
LCM(10268,10274) = 52746716

Least Common Multiple (LCM) of 10268 and 10274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10268 and 10274. First we will calculate the prime factors of 10268 and 10274.

Prime Factorization of 10268

Prime Factorization of 10274

Now multiplying the highest exponent prime factors to calculate the LCM of 10268 and 10274.

LCM(10268,10274) = 2² × 17¹ × 151¹ × 11¹ × 467¹
LCM(10268,10274) = 52746716