What is the Least Common Multiple of 57696 and 57716?

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 57696 and 57716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57696 and 57716, than apply into the LCM equation.

GCF(57696,57716) = 4
LCM(57696,57716) = ( 57696 × 57716) / 4
LCM(57696,57716) = 3329982336 / 4
LCM(57696,57716) = 832495584

Least Common Multiple (LCM) of 57696 and 57716 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57696 and 57716. First we will calculate the prime factors of 57696 and 57716.

Prime Factorization of 57696

Prime Factorization of 57716

Now multiplying the highest exponent prime factors to calculate the LCM of 57696 and 57716.

LCM(57696,57716) = 2⁵ × 3¹ × 601¹ × 47¹ × 307¹
LCM(57696,57716) = 832495584