What is the Least Common Multiple of 18768 and 18783?

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 18768 and 18783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18768 and 18783, than apply into the LCM equation.

GCF(18768,18783) = 3
LCM(18768,18783) = ( 18768 × 18783) / 3
LCM(18768,18783) = 352519344 / 3
LCM(18768,18783) = 117506448

Least Common Multiple (LCM) of 18768 and 18783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18768 and 18783. First we will calculate the prime factors of 18768 and 18783.

Prime Factorization of 18768

Prime Factorization of 18783

Now multiplying the highest exponent prime factors to calculate the LCM of 18768 and 18783.

LCM(18768,18783) = 2⁴ × 3² × 17¹ × 23¹ × 2087¹
LCM(18768,18783) = 117506448