GCF and LCM Calculator Logo

What is the Least Common Multiple of 25716 and 25726?

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 25716 and 25726 is 330784908.

LCM(25716,25726) = 330784908

LCM Calculator and
and

Least Common Multiple of 25716 and 25726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25716 and 25726, than apply into the LCM equation.

GCF(25716,25726) = 2
LCM(25716,25726) = ( 25716 × 25726) / 2
LCM(25716,25726) = 661569816 / 2
LCM(25716,25726) = 330784908

Least Common Multiple (LCM) of 25716 and 25726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25716 and 25726. First we will calculate the prime factors of 25716 and 25726.

Prime Factorization of 25716

Prime factors of 25716 are 2, 3, 2143. Prime factorization of 25716 in exponential form is:

25716 = 22 × 31 × 21431

Prime Factorization of 25726

Prime factors of 25726 are 2, 19, 677. Prime factorization of 25726 in exponential form is:

25726 = 21 × 191 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 25716 and 25726.

LCM(25716,25726) = 22 × 31 × 21431 × 191 × 6771
LCM(25716,25726) = 330784908