What is the Least Common Multiple of 17765 and 17784?

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 17765 and 17784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17765 and 17784, than apply into the LCM equation.

GCF(17765,17784) = 19
LCM(17765,17784) = ( 17765 × 17784) / 19
LCM(17765,17784) = 315932760 / 19
LCM(17765,17784) = 16628040

Least Common Multiple (LCM) of 17765 and 17784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17765 and 17784. First we will calculate the prime factors of 17765 and 17784.

Prime Factorization of 17765

Prime Factorization of 17784

Now multiplying the highest exponent prime factors to calculate the LCM of 17765 and 17784.

LCM(17765,17784) = 5¹ × 11¹ × 17¹ × 19¹ × 2³ × 3² × 13¹
LCM(17765,17784) = 16628040