GCF and LCM Calculator Logo

What is the Least Common Multiple of 25321 and 25332?

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 25321 and 25332 is 641431572.

LCM(25321,25332) = 641431572

LCM Calculator and
and

Least Common Multiple of 25321 and 25332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25321 and 25332, than apply into the LCM equation.

GCF(25321,25332) = 1
LCM(25321,25332) = ( 25321 × 25332) / 1
LCM(25321,25332) = 641431572 / 1
LCM(25321,25332) = 641431572

Least Common Multiple (LCM) of 25321 and 25332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25321 and 25332. First we will calculate the prime factors of 25321 and 25332.

Prime Factorization of 25321

Prime factors of 25321 are 25321. Prime factorization of 25321 in exponential form is:

25321 = 253211

Prime Factorization of 25332

Prime factors of 25332 are 2, 3, 2111. Prime factorization of 25332 in exponential form is:

25332 = 22 × 31 × 21111

Now multiplying the highest exponent prime factors to calculate the LCM of 25321 and 25332.

LCM(25321,25332) = 253211 × 22 × 31 × 21111
LCM(25321,25332) = 641431572