What is the Least Common Multiple of 57509 and 57514?

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 57509 and 57514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57509 and 57514, than apply into the LCM equation.

GCF(57509,57514) = 1
LCM(57509,57514) = ( 57509 × 57514) / 1
LCM(57509,57514) = 3307572626 / 1
LCM(57509,57514) = 3307572626

Least Common Multiple (LCM) of 57509 and 57514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57509 and 57514. First we will calculate the prime factors of 57509 and 57514.

Prime Factorization of 57509

Prime Factorization of 57514

Now multiplying the highest exponent prime factors to calculate the LCM of 57509 and 57514.

LCM(57509,57514) = 131¹ × 439¹ × 2¹ × 149¹ × 193¹
LCM(57509,57514) = 3307572626