What is the Least Common Multiple of 17609 and 17626?

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 17609 and 17626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17609 and 17626, than apply into the LCM equation.

GCF(17609,17626) = 1
LCM(17609,17626) = ( 17609 × 17626) / 1
LCM(17609,17626) = 310376234 / 1
LCM(17609,17626) = 310376234

Least Common Multiple (LCM) of 17609 and 17626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17609 and 17626. First we will calculate the prime factors of 17609 and 17626.

Prime Factorization of 17609

Prime Factorization of 17626

Now multiplying the highest exponent prime factors to calculate the LCM of 17609 and 17626.

LCM(17609,17626) = 17609¹ × 2¹ × 7¹ × 1259¹
LCM(17609,17626) = 310376234