What is the Least Common Multiple of 8253 and 8273?

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 8253 and 8273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8253 and 8273, than apply into the LCM equation.

GCF(8253,8273) = 1
LCM(8253,8273) = ( 8253 × 8273) / 1
LCM(8253,8273) = 68277069 / 1
LCM(8253,8273) = 68277069

Least Common Multiple (LCM) of 8253 and 8273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8253 and 8273. First we will calculate the prime factors of 8253 and 8273.

Prime Factorization of 8253

Prime Factorization of 8273

Now multiplying the highest exponent prime factors to calculate the LCM of 8253 and 8273.

LCM(8253,8273) = 3² × 7¹ × 131¹ × 8273¹
LCM(8253,8273) = 68277069