What is the Least Common Multiple of 29774 and 29784?

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 29774 and 29784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29774 and 29784, than apply into the LCM equation.

GCF(29774,29784) = 2
LCM(29774,29784) = ( 29774 × 29784) / 2
LCM(29774,29784) = 886788816 / 2
LCM(29774,29784) = 443394408

Least Common Multiple (LCM) of 29774 and 29784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29774 and 29784. First we will calculate the prime factors of 29774 and 29784.

Prime Factorization of 29774

Prime Factorization of 29784

Now multiplying the highest exponent prime factors to calculate the LCM of 29774 and 29784.

LCM(29774,29784) = 2³ × 14887¹ × 3¹ × 17¹ × 73¹
LCM(29774,29784) = 443394408