What is the Least Common Multiple of 8283 and 8302?

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 8283 and 8302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8283 and 8302, than apply into the LCM equation.

GCF(8283,8302) = 1
LCM(8283,8302) = ( 8283 × 8302) / 1
LCM(8283,8302) = 68765466 / 1
LCM(8283,8302) = 68765466

Least Common Multiple (LCM) of 8283 and 8302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8283 and 8302. First we will calculate the prime factors of 8283 and 8302.

Prime Factorization of 8283

Prime Factorization of 8302

Now multiplying the highest exponent prime factors to calculate the LCM of 8283 and 8302.

LCM(8283,8302) = 3¹ × 11¹ × 251¹ × 2¹ × 7¹ × 593¹
LCM(8283,8302) = 68765466