What is the Least Common Multiple of 8288 and 8305?

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 8305 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 8305, than apply into the LCM equation.

GCF(8288,8305) = 1
LCM(8288,8305) = ( 8288 × 8305) / 1
LCM(8288,8305) = 68831840 / 1
LCM(8288,8305) = 68831840

Least Common Multiple (LCM) of 8288 and 8305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8288 and 8305. First we will calculate the prime factors of 8288 and 8305.

Prime Factorization of 8288

Prime Factorization of 8305

Now multiplying the highest exponent prime factors to calculate the LCM of 8288 and 8305.

LCM(8288,8305) = 2⁵ × 7¹ × 37¹ × 5¹ × 11¹ × 151¹
LCM(8288,8305) = 68831840