What is the Least Common Multiple of 57904 and 57912?

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 57912 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 57912, than apply into the LCM equation.

GCF(57904,57912) = 8
LCM(57904,57912) = ( 57904 × 57912) / 8
LCM(57904,57912) = 3353336448 / 8
LCM(57904,57912) = 419167056

Least Common Multiple (LCM) of 57904 and 57912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57904 and 57912. First we will calculate the prime factors of 57904 and 57912.

Prime Factorization of 57904

Prime Factorization of 57912

Now multiplying the highest exponent prime factors to calculate the LCM of 57904 and 57912.

LCM(57904,57912) = 2⁴ × 7¹ × 11¹ × 47¹ × 3¹ × 19¹ × 127¹
LCM(57904,57912) = 419167056