What is the Least Common Multiple of 29829 and 29833?

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 29829 and 29833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29829 and 29833, than apply into the LCM equation.

GCF(29829,29833) = 1
LCM(29829,29833) = ( 29829 × 29833) / 1
LCM(29829,29833) = 889888557 / 1
LCM(29829,29833) = 889888557

Least Common Multiple (LCM) of 29829 and 29833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29829 and 29833. First we will calculate the prime factors of 29829 and 29833.

Prime Factorization of 29829

Prime Factorization of 29833

Now multiplying the highest exponent prime factors to calculate the LCM of 29829 and 29833.

LCM(29829,29833) = 3¹ × 61¹ × 163¹ × 29833¹
LCM(29829,29833) = 889888557