What is the Least Common Multiple of 18768 and 18780?

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 18780 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 18780, than apply into the LCM equation.

GCF(18768,18780) = 12
LCM(18768,18780) = ( 18768 × 18780) / 12
LCM(18768,18780) = 352463040 / 12
LCM(18768,18780) = 29371920

Least Common Multiple (LCM) of 18768 and 18780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18768 and 18780. First we will calculate the prime factors of 18768 and 18780.

Prime Factorization of 18768

Prime Factorization of 18780

Now multiplying the highest exponent prime factors to calculate the LCM of 18768 and 18780.

LCM(18768,18780) = 2⁴ × 3¹ × 17¹ × 23¹ × 5¹ × 313¹
LCM(18768,18780) = 29371920