What is the Least Common Multiple of 39447 and 39459?

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 39447 and 39459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39447 and 39459, than apply into the LCM equation.

GCF(39447,39459) = 3
LCM(39447,39459) = ( 39447 × 39459) / 3
LCM(39447,39459) = 1556539173 / 3
LCM(39447,39459) = 518846391

Least Common Multiple (LCM) of 39447 and 39459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39447 and 39459. First we will calculate the prime factors of 39447 and 39459.

Prime Factorization of 39447

Prime Factorization of 39459

Now multiplying the highest exponent prime factors to calculate the LCM of 39447 and 39459.

LCM(39447,39459) = 3⁴ × 487¹ × 7¹ × 1879¹
LCM(39447,39459) = 518846391