What is the Least Common Multiple of 23776 and 23782?

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 23776 and 23782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23776 and 23782, than apply into the LCM equation.

GCF(23776,23782) = 2
LCM(23776,23782) = ( 23776 × 23782) / 2
LCM(23776,23782) = 565440832 / 2
LCM(23776,23782) = 282720416

Least Common Multiple (LCM) of 23776 and 23782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23776 and 23782. First we will calculate the prime factors of 23776 and 23782.

Prime Factorization of 23776

Prime Factorization of 23782

Now multiplying the highest exponent prime factors to calculate the LCM of 23776 and 23782.

LCM(23776,23782) = 2⁵ × 743¹ × 11¹ × 23¹ × 47¹
LCM(23776,23782) = 282720416