What is the Least Common Multiple of 52768 and 52785?

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 52785 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 52785, than apply into the LCM equation.

GCF(52768,52785) = 17
LCM(52768,52785) = ( 52768 × 52785) / 17
LCM(52768,52785) = 2785358880 / 17
LCM(52768,52785) = 163844640

Least Common Multiple (LCM) of 52768 and 52785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52768 and 52785. First we will calculate the prime factors of 52768 and 52785.

Prime Factorization of 52768

Prime Factorization of 52785

Now multiplying the highest exponent prime factors to calculate the LCM of 52768 and 52785.

LCM(52768,52785) = 2⁵ × 17¹ × 97¹ × 3³ × 5¹ × 23¹
LCM(52768,52785) = 163844640