What is the Least Common Multiple of 57505 and 57524?

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 57505 and 57524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57505 and 57524, than apply into the LCM equation.

GCF(57505,57524) = 1
LCM(57505,57524) = ( 57505 × 57524) / 1
LCM(57505,57524) = 3307917620 / 1
LCM(57505,57524) = 3307917620

Least Common Multiple (LCM) of 57505 and 57524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57505 and 57524. First we will calculate the prime factors of 57505 and 57524.

Prime Factorization of 57505

Prime Factorization of 57524

Now multiplying the highest exponent prime factors to calculate the LCM of 57505 and 57524.

LCM(57505,57524) = 5¹ × 7¹ × 31¹ × 53¹ × 2² × 73¹ × 197¹
LCM(57505,57524) = 3307917620