What is the Least Common Multiple of 39024 and 39029?

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 39024 and 39029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39024 and 39029, than apply into the LCM equation.

GCF(39024,39029) = 1
LCM(39024,39029) = ( 39024 × 39029) / 1
LCM(39024,39029) = 1523067696 / 1
LCM(39024,39029) = 1523067696

Least Common Multiple (LCM) of 39024 and 39029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39024 and 39029. First we will calculate the prime factors of 39024 and 39029.

Prime Factorization of 39024

Prime Factorization of 39029

Now multiplying the highest exponent prime factors to calculate the LCM of 39024 and 39029.

LCM(39024,39029) = 2⁴ × 3² × 271¹ × 31¹ × 1259¹
LCM(39024,39029) = 1523067696