What is the Least Common Multiple of 8288 and 8295?

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 8288 and 8295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8288 and 8295, than apply into the LCM equation.

GCF(8288,8295) = 7
LCM(8288,8295) = ( 8288 × 8295) / 7
LCM(8288,8295) = 68748960 / 7
LCM(8288,8295) = 9821280

Least Common Multiple (LCM) of 8288 and 8295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8288 and 8295. First we will calculate the prime factors of 8288 and 8295.

Prime Factorization of 8288

Prime Factorization of 8295

Now multiplying the highest exponent prime factors to calculate the LCM of 8288 and 8295.

LCM(8288,8295) = 2⁵ × 7¹ × 37¹ × 3¹ × 5¹ × 79¹
LCM(8288,8295) = 9821280