GCF and LCM Calculator Logo

What is the Least Common Multiple of 25734 and 25753?

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 25734 and 25753 is 662727702.

LCM(25734,25753) = 662727702

LCM Calculator and
and

Least Common Multiple of 25734 and 25753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25734 and 25753, than apply into the LCM equation.

GCF(25734,25753) = 1
LCM(25734,25753) = ( 25734 × 25753) / 1
LCM(25734,25753) = 662727702 / 1
LCM(25734,25753) = 662727702

Least Common Multiple (LCM) of 25734 and 25753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25734 and 25753. First we will calculate the prime factors of 25734 and 25753.

Prime Factorization of 25734

Prime factors of 25734 are 2, 3, 4289. Prime factorization of 25734 in exponential form is:

25734 = 21 × 31 × 42891

Prime Factorization of 25753

Prime factors of 25753 are 7, 13, 283. Prime factorization of 25753 in exponential form is:

25753 = 71 × 131 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 25734 and 25753.

LCM(25734,25753) = 21 × 31 × 42891 × 71 × 131 × 2831
LCM(25734,25753) = 662727702