What is the Least Common Multiple of 43784 and 43798?

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 43784 and 43798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43784 and 43798, than apply into the LCM equation.

GCF(43784,43798) = 2
LCM(43784,43798) = ( 43784 × 43798) / 2
LCM(43784,43798) = 1917651632 / 2
LCM(43784,43798) = 958825816

Least Common Multiple (LCM) of 43784 and 43798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43784 and 43798. First we will calculate the prime factors of 43784 and 43798.

Prime Factorization of 43784

Prime Factorization of 43798

Now multiplying the highest exponent prime factors to calculate the LCM of 43784 and 43798.

LCM(43784,43798) = 2³ × 13¹ × 421¹ × 61¹ × 359¹
LCM(43784,43798) = 958825816