What is the Least Common Multiple of 32923 and 32929?

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 32923 and 32929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32923 and 32929, than apply into the LCM equation.

GCF(32923,32929) = 1
LCM(32923,32929) = ( 32923 × 32929) / 1
LCM(32923,32929) = 1084121467 / 1
LCM(32923,32929) = 1084121467

Least Common Multiple (LCM) of 32923 and 32929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32923 and 32929. First we will calculate the prime factors of 32923 and 32929.

Prime Factorization of 32923

Prime Factorization of 32929

Now multiplying the highest exponent prime factors to calculate the LCM of 32923 and 32929.

LCM(32923,32929) = 11¹ × 41¹ × 73¹ × 13¹ × 17¹ × 149¹
LCM(32923,32929) = 1084121467