What is the Least Common Multiple of 52764 and 52768?

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 52764 and 52768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52764 and 52768, than apply into the LCM equation.

GCF(52764,52768) = 4
LCM(52764,52768) = ( 52764 × 52768) / 4
LCM(52764,52768) = 2784250752 / 4
LCM(52764,52768) = 696062688

Least Common Multiple (LCM) of 52764 and 52768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52764 and 52768. First we will calculate the prime factors of 52764 and 52768.

Prime Factorization of 52764

Prime Factorization of 52768

Now multiplying the highest exponent prime factors to calculate the LCM of 52764 and 52768.

LCM(52764,52768) = 2⁵ × 3¹ × 4397¹ × 17¹ × 97¹
LCM(52764,52768) = 696062688