What is the Least Common Multiple of 29784 and 29792?

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 29784 and 29792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29784 and 29792, than apply into the LCM equation.

GCF(29784,29792) = 8
LCM(29784,29792) = ( 29784 × 29792) / 8
LCM(29784,29792) = 887324928 / 8
LCM(29784,29792) = 110915616

Least Common Multiple (LCM) of 29784 and 29792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29784 and 29792. First we will calculate the prime factors of 29784 and 29792.

Prime Factorization of 29784

Prime Factorization of 29792

Now multiplying the highest exponent prime factors to calculate the LCM of 29784 and 29792.

LCM(29784,29792) = 2⁵ × 3¹ × 17¹ × 73¹ × 7² × 19¹
LCM(29784,29792) = 110915616