What is the Least Common Multiple of 38504 and 38521?

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 38504 and 38521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38504 and 38521, than apply into the LCM equation.

GCF(38504,38521) = 1
LCM(38504,38521) = ( 38504 × 38521) / 1
LCM(38504,38521) = 1483212584 / 1
LCM(38504,38521) = 1483212584

Least Common Multiple (LCM) of 38504 and 38521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38504 and 38521. First we will calculate the prime factors of 38504 and 38521.

Prime Factorization of 38504

Prime Factorization of 38521

Now multiplying the highest exponent prime factors to calculate the LCM of 38504 and 38521.

LCM(38504,38521) = 2³ × 4813¹ × 7¹ × 5503¹
LCM(38504,38521) = 1483212584