What is the Least Common Multiple of 19605 and 19623?

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 19605 and 19623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19605 and 19623, than apply into the LCM equation.

GCF(19605,19623) = 3
LCM(19605,19623) = ( 19605 × 19623) / 3
LCM(19605,19623) = 384708915 / 3
LCM(19605,19623) = 128236305

Least Common Multiple (LCM) of 19605 and 19623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19605 and 19623. First we will calculate the prime factors of 19605 and 19623.

Prime Factorization of 19605

Prime Factorization of 19623

Now multiplying the highest exponent prime factors to calculate the LCM of 19605 and 19623.

LCM(19605,19623) = 3¹ × 5¹ × 1307¹ × 31¹ × 211¹
LCM(19605,19623) = 128236305