What is the Least Common Multiple of 59296 and 59305?

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 59296 and 59305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59296 and 59305, than apply into the LCM equation.

GCF(59296,59305) = 1
LCM(59296,59305) = ( 59296 × 59305) / 1
LCM(59296,59305) = 3516549280 / 1
LCM(59296,59305) = 3516549280

Least Common Multiple (LCM) of 59296 and 59305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59296 and 59305. First we will calculate the prime factors of 59296 and 59305.

Prime Factorization of 59296

Prime Factorization of 59305

Now multiplying the highest exponent prime factors to calculate the LCM of 59296 and 59305.

LCM(59296,59305) = 2⁵ × 17¹ × 109¹ × 5¹ × 29¹ × 409¹
LCM(59296,59305) = 3516549280