What is the Least Common Multiple of 38490 and 38503?

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 38490 and 38503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38490 and 38503, than apply into the LCM equation.

GCF(38490,38503) = 1
LCM(38490,38503) = ( 38490 × 38503) / 1
LCM(38490,38503) = 1481980470 / 1
LCM(38490,38503) = 1481980470

Least Common Multiple (LCM) of 38490 and 38503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38490 and 38503. First we will calculate the prime factors of 38490 and 38503.

Prime Factorization of 38490

Prime Factorization of 38503

Now multiplying the highest exponent prime factors to calculate the LCM of 38490 and 38503.

LCM(38490,38503) = 2¹ × 3¹ × 5¹ × 1283¹ × 139¹ × 277¹
LCM(38490,38503) = 1481980470