What is the Least Common Multiple of 20768 and 20778?

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 20778 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 20778, than apply into the LCM equation.

GCF(20768,20778) = 2
LCM(20768,20778) = ( 20768 × 20778) / 2
LCM(20768,20778) = 431517504 / 2
LCM(20768,20778) = 215758752

Least Common Multiple (LCM) of 20768 and 20778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20768 and 20778. First we will calculate the prime factors of 20768 and 20778.

Prime Factorization of 20768

Prime Factorization of 20778

Now multiplying the highest exponent prime factors to calculate the LCM of 20768 and 20778.

LCM(20768,20778) = 2⁵ × 11¹ × 59¹ × 3¹ × 3463¹
LCM(20768,20778) = 215758752