What is the Least Common Multiple of 25536 and 25546?

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 25536 and 25546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25536 and 25546, than apply into the LCM equation.

GCF(25536,25546) = 2
LCM(25536,25546) = ( 25536 × 25546) / 2
LCM(25536,25546) = 652342656 / 2
LCM(25536,25546) = 326171328

Least Common Multiple (LCM) of 25536 and 25546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25536 and 25546. First we will calculate the prime factors of 25536 and 25546.

Prime Factorization of 25536

Prime Factorization of 25546

Now multiplying the highest exponent prime factors to calculate the LCM of 25536 and 25546.

LCM(25536,25546) = 2⁶ × 3¹ × 7¹ × 19¹ × 53¹ × 241¹
LCM(25536,25546) = 326171328