What is the Least Common Multiple of 29538 and 29547?

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 29538 and 29547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29538 and 29547, than apply into the LCM equation.

GCF(29538,29547) = 9
LCM(29538,29547) = ( 29538 × 29547) / 9
LCM(29538,29547) = 872759286 / 9
LCM(29538,29547) = 96973254

Least Common Multiple (LCM) of 29538 and 29547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29538 and 29547. First we will calculate the prime factors of 29538 and 29547.

Prime Factorization of 29538

Prime Factorization of 29547

Now multiplying the highest exponent prime factors to calculate the LCM of 29538 and 29547.

LCM(29538,29547) = 2¹ × 3³ × 547¹ × 7² × 67¹
LCM(29538,29547) = 96973254