What is the Least Common Multiple of 19665 and 19671?

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 19665 and 19671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19665 and 19671, than apply into the LCM equation.

GCF(19665,19671) = 3
LCM(19665,19671) = ( 19665 × 19671) / 3
LCM(19665,19671) = 386830215 / 3
LCM(19665,19671) = 128943405

Least Common Multiple (LCM) of 19665 and 19671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19665 and 19671. First we will calculate the prime factors of 19665 and 19671.

Prime Factorization of 19665

Prime Factorization of 19671

Now multiplying the highest exponent prime factors to calculate the LCM of 19665 and 19671.

LCM(19665,19671) = 3² × 5¹ × 19¹ × 23¹ × 79¹ × 83¹
LCM(19665,19671) = 128943405