What is the Least Common Multiple of 59296 and 59314?

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 59314 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 59314, than apply into the LCM equation.

GCF(59296,59314) = 2
LCM(59296,59314) = ( 59296 × 59314) / 2
LCM(59296,59314) = 3517082944 / 2
LCM(59296,59314) = 1758541472

Least Common Multiple (LCM) of 59296 and 59314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59296 and 59314. First we will calculate the prime factors of 59296 and 59314.

Prime Factorization of 59296

Prime Factorization of 59314

Now multiplying the highest exponent prime factors to calculate the LCM of 59296 and 59314.

LCM(59296,59314) = 2⁵ × 17¹ × 109¹ × 47¹ × 631¹
LCM(59296,59314) = 1758541472