What is the Least Common Multiple of 20768 and 20785?

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 20768 and 20785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20768 and 20785, than apply into the LCM equation.

GCF(20768,20785) = 1
LCM(20768,20785) = ( 20768 × 20785) / 1
LCM(20768,20785) = 431662880 / 1
LCM(20768,20785) = 431662880

Least Common Multiple (LCM) of 20768 and 20785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20768 and 20785. First we will calculate the prime factors of 20768 and 20785.

Prime Factorization of 20768

Prime Factorization of 20785

Now multiplying the highest exponent prime factors to calculate the LCM of 20768 and 20785.

LCM(20768,20785) = 2⁵ × 11¹ × 59¹ × 5¹ × 4157¹
LCM(20768,20785) = 431662880