What is the Least Common Multiple of 27784 and 27796?

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 27784 and 27796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27784 and 27796, than apply into the LCM equation.

GCF(27784,27796) = 4
LCM(27784,27796) = ( 27784 × 27796) / 4
LCM(27784,27796) = 772284064 / 4
LCM(27784,27796) = 193071016

Least Common Multiple (LCM) of 27784 and 27796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27784 and 27796. First we will calculate the prime factors of 27784 and 27796.

Prime Factorization of 27784

Prime Factorization of 27796

Now multiplying the highest exponent prime factors to calculate the LCM of 27784 and 27796.

LCM(27784,27796) = 2³ × 23¹ × 151¹ × 6949¹
LCM(27784,27796) = 193071016