What is the Least Common Multiple of 57904 and 57915?

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 57904 and 57915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57904 and 57915, than apply into the LCM equation.

GCF(57904,57915) = 11
LCM(57904,57915) = ( 57904 × 57915) / 11
LCM(57904,57915) = 3353510160 / 11
LCM(57904,57915) = 304864560

Least Common Multiple (LCM) of 57904 and 57915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57904 and 57915. First we will calculate the prime factors of 57904 and 57915.

Prime Factorization of 57904

Prime Factorization of 57915

Now multiplying the highest exponent prime factors to calculate the LCM of 57904 and 57915.

LCM(57904,57915) = 2⁴ × 7¹ × 11¹ × 47¹ × 3⁴ × 5¹ × 13¹
LCM(57904,57915) = 304864560