What is the Least Common Multiple of 48608 and 48626?

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 48608 and 48626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48608 and 48626, than apply into the LCM equation.

GCF(48608,48626) = 2
LCM(48608,48626) = ( 48608 × 48626) / 2
LCM(48608,48626) = 2363612608 / 2
LCM(48608,48626) = 1181806304

Least Common Multiple (LCM) of 48608 and 48626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48608 and 48626. First we will calculate the prime factors of 48608 and 48626.

Prime Factorization of 48608

Prime Factorization of 48626

Now multiplying the highest exponent prime factors to calculate the LCM of 48608 and 48626.

LCM(48608,48626) = 2⁵ × 7² × 31¹ × 41¹ × 593¹
LCM(48608,48626) = 1181806304