GCF and LCM Calculator Logo

What is the Least Common Multiple of 5705 and 5725?

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 5705 and 5725 is 6532225.

LCM(5705,5725) = 6532225

LCM Calculator and
and

Least Common Multiple of 5705 and 5725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5705 and 5725, than apply into the LCM equation.

GCF(5705,5725) = 5
LCM(5705,5725) = ( 5705 × 5725) / 5
LCM(5705,5725) = 32661125 / 5
LCM(5705,5725) = 6532225

Least Common Multiple (LCM) of 5705 and 5725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5705 and 5725. First we will calculate the prime factors of 5705 and 5725.

Prime Factorization of 5705

Prime factors of 5705 are 5, 7, 163. Prime factorization of 5705 in exponential form is:

5705 = 51 × 71 × 1631

Prime Factorization of 5725

Prime factors of 5725 are 5, 229. Prime factorization of 5725 in exponential form is:

5725 = 52 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 5705 and 5725.

LCM(5705,5725) = 52 × 71 × 1631 × 2291
LCM(5705,5725) = 6532225