GCF and LCM Calculator Logo

What is the Least Common Multiple of 25524 and 25532?

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 25524 and 25532 is 162919692.

LCM(25524,25532) = 162919692

LCM Calculator and
and

Least Common Multiple of 25524 and 25532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25524 and 25532, than apply into the LCM equation.

GCF(25524,25532) = 4
LCM(25524,25532) = ( 25524 × 25532) / 4
LCM(25524,25532) = 651678768 / 4
LCM(25524,25532) = 162919692

Least Common Multiple (LCM) of 25524 and 25532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25524 and 25532. First we will calculate the prime factors of 25524 and 25532.

Prime Factorization of 25524

Prime factors of 25524 are 2, 3, 709. Prime factorization of 25524 in exponential form is:

25524 = 22 × 32 × 7091

Prime Factorization of 25532

Prime factors of 25532 are 2, 13, 491. Prime factorization of 25532 in exponential form is:

25532 = 22 × 131 × 4911

Now multiplying the highest exponent prime factors to calculate the LCM of 25524 and 25532.

LCM(25524,25532) = 22 × 32 × 7091 × 131 × 4911
LCM(25524,25532) = 162919692