What is the Least Common Multiple of 19770 and 19784?

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 19770 and 19784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19770 and 19784, than apply into the LCM equation.

GCF(19770,19784) = 2
LCM(19770,19784) = ( 19770 × 19784) / 2
LCM(19770,19784) = 391129680 / 2
LCM(19770,19784) = 195564840

Least Common Multiple (LCM) of 19770 and 19784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19770 and 19784. First we will calculate the prime factors of 19770 and 19784.

Prime Factorization of 19770

Prime Factorization of 19784

Now multiplying the highest exponent prime factors to calculate the LCM of 19770 and 19784.

LCM(19770,19784) = 2³ × 3¹ × 5¹ × 659¹ × 2473¹
LCM(19770,19784) = 195564840