What is the Least Common Multiple of 19646 and 19665?

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 19646 and 19665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19646 and 19665, than apply into the LCM equation.

GCF(19646,19665) = 19
LCM(19646,19665) = ( 19646 × 19665) / 19
LCM(19646,19665) = 386338590 / 19
LCM(19646,19665) = 20333610

Least Common Multiple (LCM) of 19646 and 19665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19646 and 19665. First we will calculate the prime factors of 19646 and 19665.

Prime Factorization of 19646

Prime Factorization of 19665

Now multiplying the highest exponent prime factors to calculate the LCM of 19646 and 19665.

LCM(19646,19665) = 2¹ × 11¹ × 19¹ × 47¹ × 3² × 5¹ × 23¹
LCM(19646,19665) = 20333610