What is the Least Common Multiple of 57252 and 57260?

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 57252 and 57260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57252 and 57260, than apply into the LCM equation.

GCF(57252,57260) = 4
LCM(57252,57260) = ( 57252 × 57260) / 4
LCM(57252,57260) = 3278249520 / 4
LCM(57252,57260) = 819562380

Least Common Multiple (LCM) of 57252 and 57260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57252 and 57260. First we will calculate the prime factors of 57252 and 57260.

Prime Factorization of 57252

Prime Factorization of 57260

Now multiplying the highest exponent prime factors to calculate the LCM of 57252 and 57260.

LCM(57252,57260) = 2² × 3¹ × 13¹ × 367¹ × 5¹ × 7¹ × 409¹
LCM(57252,57260) = 819562380