What is the Least Common Multiple of 29547 and 29559?

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 29547 and 29559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29547 and 29559, than apply into the LCM equation.

GCF(29547,29559) = 3
LCM(29547,29559) = ( 29547 × 29559) / 3
LCM(29547,29559) = 873379773 / 3
LCM(29547,29559) = 291126591

Least Common Multiple (LCM) of 29547 and 29559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29547 and 29559. First we will calculate the prime factors of 29547 and 29559.

Prime Factorization of 29547

Prime Factorization of 29559

Now multiplying the highest exponent prime factors to calculate the LCM of 29547 and 29559.

LCM(29547,29559) = 3² × 7² × 67¹ × 59¹ × 167¹
LCM(29547,29559) = 291126591