What is the Least Common Multiple of 48553 and 48561?

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 48553 and 48561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48553 and 48561, than apply into the LCM equation.

GCF(48553,48561) = 1
LCM(48553,48561) = ( 48553 × 48561) / 1
LCM(48553,48561) = 2357782233 / 1
LCM(48553,48561) = 2357782233

Least Common Multiple (LCM) of 48553 and 48561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48553 and 48561. First we will calculate the prime factors of 48553 and 48561.

Prime Factorization of 48553

Prime Factorization of 48561

Now multiplying the highest exponent prime factors to calculate the LCM of 48553 and 48561.

LCM(48553,48561) = 23¹ × 2111¹ × 3¹ × 16187¹
LCM(48553,48561) = 2357782233