What is the Least Common Multiple of 19764 and 19773?

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 19764 and 19773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19764 and 19773, than apply into the LCM equation.

GCF(19764,19773) = 9
LCM(19764,19773) = ( 19764 × 19773) / 9
LCM(19764,19773) = 390793572 / 9
LCM(19764,19773) = 43421508

Least Common Multiple (LCM) of 19764 and 19773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19764 and 19773. First we will calculate the prime factors of 19764 and 19773.

Prime Factorization of 19764

Prime Factorization of 19773

Now multiplying the highest exponent prime factors to calculate the LCM of 19764 and 19773.

LCM(19764,19773) = 2² × 3⁴ × 61¹ × 13³
LCM(19764,19773) = 43421508