What is the Least Common Multiple of 48633 and 48641?

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 48633 and 48641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48633 and 48641, than apply into the LCM equation.

GCF(48633,48641) = 1
LCM(48633,48641) = ( 48633 × 48641) / 1
LCM(48633,48641) = 2365557753 / 1
LCM(48633,48641) = 2365557753

Least Common Multiple (LCM) of 48633 and 48641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48633 and 48641. First we will calculate the prime factors of 48633 and 48641.

Prime Factorization of 48633

Prime Factorization of 48641

Now multiplying the highest exponent prime factors to calculate the LCM of 48633 and 48641.

LCM(48633,48641) = 3¹ × 13¹ × 29¹ × 43¹ × 127¹ × 383¹
LCM(48633,48641) = 2365557753