What is the Least Common Multiple of 38502 and 38509?

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 38502 and 38509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38502 and 38509, than apply into the LCM equation.

GCF(38502,38509) = 1
LCM(38502,38509) = ( 38502 × 38509) / 1
LCM(38502,38509) = 1482673518 / 1
LCM(38502,38509) = 1482673518

Least Common Multiple (LCM) of 38502 and 38509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38502 and 38509. First we will calculate the prime factors of 38502 and 38509.

Prime Factorization of 38502

Prime Factorization of 38509

Now multiplying the highest exponent prime factors to calculate the LCM of 38502 and 38509.

LCM(38502,38509) = 2¹ × 3³ × 23¹ × 31¹ × 97¹ × 397¹
LCM(38502,38509) = 1482673518