What is the Least Common Multiple of 41784 and 41792?

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 41784 and 41792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41784 and 41792, than apply into the LCM equation.

GCF(41784,41792) = 8
LCM(41784,41792) = ( 41784 × 41792) / 8
LCM(41784,41792) = 1746236928 / 8
LCM(41784,41792) = 218279616

Least Common Multiple (LCM) of 41784 and 41792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41784 and 41792. First we will calculate the prime factors of 41784 and 41792.

Prime Factorization of 41784

Prime Factorization of 41792

Now multiplying the highest exponent prime factors to calculate the LCM of 41784 and 41792.

LCM(41784,41792) = 2⁶ × 3¹ × 1741¹ × 653¹
LCM(41784,41792) = 218279616