What is the Least Common Multiple of 38488 and 38499?

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 38488 and 38499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38488 and 38499, than apply into the LCM equation.

GCF(38488,38499) = 1
LCM(38488,38499) = ( 38488 × 38499) / 1
LCM(38488,38499) = 1481749512 / 1
LCM(38488,38499) = 1481749512

Least Common Multiple (LCM) of 38488 and 38499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38488 and 38499. First we will calculate the prime factors of 38488 and 38499.

Prime Factorization of 38488

Prime Factorization of 38499

Now multiplying the highest exponent prime factors to calculate the LCM of 38488 and 38499.

LCM(38488,38499) = 2³ × 17¹ × 283¹ × 3¹ × 41¹ × 313¹
LCM(38488,38499) = 1481749512