What is the Least Common Multiple of 11609 and 11628?

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 11609 and 11628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11609 and 11628, than apply into the LCM equation.

GCF(11609,11628) = 19
LCM(11609,11628) = ( 11609 × 11628) / 19
LCM(11609,11628) = 134989452 / 19
LCM(11609,11628) = 7104708

Least Common Multiple (LCM) of 11609 and 11628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11609 and 11628. First we will calculate the prime factors of 11609 and 11628.

Prime Factorization of 11609

Prime Factorization of 11628

Now multiplying the highest exponent prime factors to calculate the LCM of 11609 and 11628.

LCM(11609,11628) = 13¹ × 19¹ × 47¹ × 2² × 3² × 17¹
LCM(11609,11628) = 7104708