What is the Least Common Multiple of 44608 and 44626?

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 44608 and 44626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44608 and 44626, than apply into the LCM equation.

GCF(44608,44626) = 2
LCM(44608,44626) = ( 44608 × 44626) / 2
LCM(44608,44626) = 1990676608 / 2
LCM(44608,44626) = 995338304

Least Common Multiple (LCM) of 44608 and 44626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44608 and 44626. First we will calculate the prime factors of 44608 and 44626.

Prime Factorization of 44608

Prime Factorization of 44626

Now multiplying the highest exponent prime factors to calculate the LCM of 44608 and 44626.

LCM(44608,44626) = 2⁶ × 17¹ × 41¹ × 53¹ × 421¹
LCM(44608,44626) = 995338304