What is the Least Common Multiple of 32829 and 32833?

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 32829 and 32833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32829 and 32833, than apply into the LCM equation.

GCF(32829,32833) = 1
LCM(32829,32833) = ( 32829 × 32833) / 1
LCM(32829,32833) = 1077874557 / 1
LCM(32829,32833) = 1077874557

Least Common Multiple (LCM) of 32829 and 32833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32829 and 32833. First we will calculate the prime factors of 32829 and 32833.

Prime Factorization of 32829

Prime Factorization of 32833

Now multiplying the highest exponent prime factors to calculate the LCM of 32829 and 32833.

LCM(32829,32833) = 3¹ × 31¹ × 353¹ × 32833¹
LCM(32829,32833) = 1077874557