What is the Least Common Multiple of 57882 and 57896?

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 57882 and 57896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57882 and 57896, than apply into the LCM equation.

GCF(57882,57896) = 2
LCM(57882,57896) = ( 57882 × 57896) / 2
LCM(57882,57896) = 3351136272 / 2
LCM(57882,57896) = 1675568136

Least Common Multiple (LCM) of 57882 and 57896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57882 and 57896. First we will calculate the prime factors of 57882 and 57896.

Prime Factorization of 57882

Prime Factorization of 57896

Now multiplying the highest exponent prime factors to calculate the LCM of 57882 and 57896.

LCM(57882,57896) = 2³ × 3¹ × 11¹ × 877¹ × 7237¹
LCM(57882,57896) = 1675568136