What is the Least Common Multiple of 52768 and 52786?

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 52768 and 52786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52768 and 52786, than apply into the LCM equation.

GCF(52768,52786) = 2
LCM(52768,52786) = ( 52768 × 52786) / 2
LCM(52768,52786) = 2785411648 / 2
LCM(52768,52786) = 1392705824

Least Common Multiple (LCM) of 52768 and 52786 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52768 and 52786. First we will calculate the prime factors of 52768 and 52786.

Prime Factorization of 52768

Prime Factorization of 52786

Now multiplying the highest exponent prime factors to calculate the LCM of 52768 and 52786.

LCM(52768,52786) = 2⁵ × 17¹ × 97¹ × 26393¹
LCM(52768,52786) = 1392705824