What is the Least Common Multiple of 27608 and 27626?

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 27608 and 27626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27608 and 27626, than apply into the LCM equation.

GCF(27608,27626) = 2
LCM(27608,27626) = ( 27608 × 27626) / 2
LCM(27608,27626) = 762698608 / 2
LCM(27608,27626) = 381349304

Least Common Multiple (LCM) of 27608 and 27626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27608 and 27626. First we will calculate the prime factors of 27608 and 27626.

Prime Factorization of 27608

Prime Factorization of 27626

Now multiplying the highest exponent prime factors to calculate the LCM of 27608 and 27626.

LCM(27608,27626) = 2³ × 7¹ × 17¹ × 29¹ × 19¹ × 727¹
LCM(27608,27626) = 381349304