What is the Least Common Multiple of 18753 and 18768?

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 18753 and 18768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18753 and 18768, than apply into the LCM equation.

GCF(18753,18768) = 3
LCM(18753,18768) = ( 18753 × 18768) / 3
LCM(18753,18768) = 351956304 / 3
LCM(18753,18768) = 117318768

Least Common Multiple (LCM) of 18753 and 18768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18753 and 18768. First we will calculate the prime factors of 18753 and 18768.

Prime Factorization of 18753

Prime Factorization of 18768

Now multiplying the highest exponent prime factors to calculate the LCM of 18753 and 18768.

LCM(18753,18768) = 3¹ × 7¹ × 19¹ × 47¹ × 2⁴ × 17¹ × 23¹
LCM(18753,18768) = 117318768