What is the Least Common Multiple of 29776 and 29782?

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 29776 and 29782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29776 and 29782, than apply into the LCM equation.

GCF(29776,29782) = 2
LCM(29776,29782) = ( 29776 × 29782) / 2
LCM(29776,29782) = 886788832 / 2
LCM(29776,29782) = 443394416

Least Common Multiple (LCM) of 29776 and 29782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29776 and 29782. First we will calculate the prime factors of 29776 and 29782.

Prime Factorization of 29776

Prime Factorization of 29782

Now multiplying the highest exponent prime factors to calculate the LCM of 29776 and 29782.

LCM(29776,29782) = 2⁴ × 1861¹ × 14891¹
LCM(29776,29782) = 443394416