What is the Least Common Multiple of 8278 and 8288?

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 8288 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 8288, than apply into the LCM equation.

GCF(8278,8288) = 2
LCM(8278,8288) = ( 8278 × 8288) / 2
LCM(8278,8288) = 68608064 / 2
LCM(8278,8288) = 34304032

Least Common Multiple (LCM) of 8278 and 8288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8278 and 8288. First we will calculate the prime factors of 8278 and 8288.

Prime Factorization of 8278

Prime Factorization of 8288

Now multiplying the highest exponent prime factors to calculate the LCM of 8278 and 8288.

LCM(8278,8288) = 2⁵ × 4139¹ × 7¹ × 37¹
LCM(8278,8288) = 34304032