What is the Least Common Multiple of 32608 and 32626?

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 32608 and 32626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32608 and 32626, than apply into the LCM equation.

GCF(32608,32626) = 2
LCM(32608,32626) = ( 32608 × 32626) / 2
LCM(32608,32626) = 1063868608 / 2
LCM(32608,32626) = 531934304

Least Common Multiple (LCM) of 32608 and 32626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32608 and 32626. First we will calculate the prime factors of 32608 and 32626.

Prime Factorization of 32608

Prime Factorization of 32626

Now multiplying the highest exponent prime factors to calculate the LCM of 32608 and 32626.

LCM(32608,32626) = 2⁵ × 1019¹ × 11¹ × 1483¹
LCM(32608,32626) = 531934304