What is the Least Common Multiple of 59296 and 59306?

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 59306 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 59306, than apply into the LCM equation.

GCF(59296,59306) = 2
LCM(59296,59306) = ( 59296 × 59306) / 2
LCM(59296,59306) = 3516608576 / 2
LCM(59296,59306) = 1758304288

Least Common Multiple (LCM) of 59296 and 59306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59296 and 59306. First we will calculate the prime factors of 59296 and 59306.

Prime Factorization of 59296

Prime Factorization of 59306

Now multiplying the highest exponent prime factors to calculate the LCM of 59296 and 59306.

LCM(59296,59306) = 2⁵ × 17¹ × 109¹ × 13¹ × 2281¹
LCM(59296,59306) = 1758304288