What is the Least Common Multiple of 19605 and 19613?

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 19613 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 19613, than apply into the LCM equation.

GCF(19605,19613) = 1
LCM(19605,19613) = ( 19605 × 19613) / 1
LCM(19605,19613) = 384512865 / 1
LCM(19605,19613) = 384512865

Least Common Multiple (LCM) of 19605 and 19613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19605 and 19613. First we will calculate the prime factors of 19605 and 19613.

Prime Factorization of 19605

Prime Factorization of 19613

Now multiplying the highest exponent prime factors to calculate the LCM of 19605 and 19613.

LCM(19605,19613) = 3¹ × 5¹ × 1307¹ × 11¹ × 1783¹
LCM(19605,19613) = 384512865