What is the Least Common Multiple of 29535 and 29544?

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 29535 and 29544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29535 and 29544, than apply into the LCM equation.

GCF(29535,29544) = 3
LCM(29535,29544) = ( 29535 × 29544) / 3
LCM(29535,29544) = 872582040 / 3
LCM(29535,29544) = 290860680

Least Common Multiple (LCM) of 29535 and 29544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29535 and 29544. First we will calculate the prime factors of 29535 and 29544.

Prime Factorization of 29535

Prime Factorization of 29544

Now multiplying the highest exponent prime factors to calculate the LCM of 29535 and 29544.

LCM(29535,29544) = 3¹ × 5¹ × 11¹ × 179¹ × 2³ × 1231¹
LCM(29535,29544) = 290860680