What is the Least Common Multiple of 29043 and 29049?

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 29043 and 29049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29043 and 29049, than apply into the LCM equation.

GCF(29043,29049) = 3
LCM(29043,29049) = ( 29043 × 29049) / 3
LCM(29043,29049) = 843670107 / 3
LCM(29043,29049) = 281223369

Least Common Multiple (LCM) of 29043 and 29049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29043 and 29049. First we will calculate the prime factors of 29043 and 29049.

Prime Factorization of 29043

Prime Factorization of 29049

Now multiplying the highest exponent prime factors to calculate the LCM of 29043 and 29049.

LCM(29043,29049) = 3² × 7¹ × 461¹ × 23¹ × 421¹
LCM(29043,29049) = 281223369