What is the Least Common Multiple of 59014 and 59032?

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 59014 and 59032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59014 and 59032, than apply into the LCM equation.

GCF(59014,59032) = 2
LCM(59014,59032) = ( 59014 × 59032) / 2
LCM(59014,59032) = 3483714448 / 2
LCM(59014,59032) = 1741857224

Least Common Multiple (LCM) of 59014 and 59032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59014 and 59032. First we will calculate the prime factors of 59014 and 59032.

Prime Factorization of 59014

Prime Factorization of 59032

Now multiplying the highest exponent prime factors to calculate the LCM of 59014 and 59032.

LCM(59014,59032) = 2³ × 19¹ × 1553¹ × 47¹ × 157¹
LCM(59014,59032) = 1741857224