What is the Least Common Multiple of 8278 and 8290?

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 8278 and 8290 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8278 and 8290, than apply into the LCM equation.

GCF(8278,8290) = 2
LCM(8278,8290) = ( 8278 × 8290) / 2
LCM(8278,8290) = 68624620 / 2
LCM(8278,8290) = 34312310

Least Common Multiple (LCM) of 8278 and 8290 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8278 and 8290. First we will calculate the prime factors of 8278 and 8290.

Prime Factorization of 8278

Prime Factorization of 8290

Now multiplying the highest exponent prime factors to calculate the LCM of 8278 and 8290.

LCM(8278,8290) = 2¹ × 4139¹ × 5¹ × 829¹
LCM(8278,8290) = 34312310