What is the Least Common Multiple of 57508 and 57521?

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 57508 and 57521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57508 and 57521, than apply into the LCM equation.

GCF(57508,57521) = 1
LCM(57508,57521) = ( 57508 × 57521) / 1
LCM(57508,57521) = 3307917668 / 1
LCM(57508,57521) = 3307917668

Least Common Multiple (LCM) of 57508 and 57521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57508 and 57521. First we will calculate the prime factors of 57508 and 57521.

Prime Factorization of 57508

Prime Factorization of 57521

Now multiplying the highest exponent prime factors to calculate the LCM of 57508 and 57521.

LCM(57508,57521) = 2² × 11¹ × 1307¹ × 97¹ × 593¹
LCM(57508,57521) = 3307917668