GCF and LCM Calculator Logo

What is the Least Common Multiple of 25536 and 25553?

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 (LCM) of 25536 and 25553 is 652521408.

LCM(25536,25553) = 652521408

LCM Calculator and
and

Least Common Multiple of 25536 and 25553 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 25553, than apply into the LCM equation.

GCF(25536,25553) = 1
LCM(25536,25553) = ( 25536 × 25553) / 1
LCM(25536,25553) = 652521408 / 1
LCM(25536,25553) = 652521408

Least Common Multiple (LCM) of 25536 and 25553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25536 and 25553. First we will calculate the prime factors of 25536 and 25553.

Prime Factorization of 25536

Prime factors of 25536 are 2, 3, 7, 19. Prime factorization of 25536 in exponential form is:

25536 = 26 × 31 × 71 × 191

Prime Factorization of 25553

Prime factors of 25553 are 11, 23, 101. Prime factorization of 25553 in exponential form is:

25553 = 111 × 231 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 25536 and 25553.

LCM(25536,25553) = 26 × 31 × 71 × 191 × 111 × 231 × 1011
LCM(25536,25553) = 652521408