What is the Least Common Multiple of 18496 and 18504?

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 18496 and 18504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18496 and 18504, than apply into the LCM equation.

GCF(18496,18504) = 8
LCM(18496,18504) = ( 18496 × 18504) / 8
LCM(18496,18504) = 342249984 / 8
LCM(18496,18504) = 42781248

Least Common Multiple (LCM) of 18496 and 18504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18496 and 18504. First we will calculate the prime factors of 18496 and 18504.

Prime Factorization of 18496

Prime Factorization of 18504

Now multiplying the highest exponent prime factors to calculate the LCM of 18496 and 18504.

LCM(18496,18504) = 2⁶ × 17² × 3² × 257¹
LCM(18496,18504) = 42781248