What is the Least Common Multiple of 38539 and 38556?

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 38539 and 38556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38539 and 38556, than apply into the LCM equation.

GCF(38539,38556) = 17
LCM(38539,38556) = ( 38539 × 38556) / 17
LCM(38539,38556) = 1485909684 / 17
LCM(38539,38556) = 87406452

Least Common Multiple (LCM) of 38539 and 38556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38539 and 38556. First we will calculate the prime factors of 38539 and 38556.

Prime Factorization of 38539

Prime Factorization of 38556

Now multiplying the highest exponent prime factors to calculate the LCM of 38539 and 38556.

LCM(38539,38556) = 17¹ × 2267¹ × 2² × 3⁴ × 7¹
LCM(38539,38556) = 87406452