GCF and LCM Calculator Logo

What is the Least Common Multiple of 25705 and 25724?

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 25705 and 25724 is 661235420.

LCM(25705,25724) = 661235420

LCM Calculator and
and

Least Common Multiple of 25705 and 25724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25705 and 25724, than apply into the LCM equation.

GCF(25705,25724) = 1
LCM(25705,25724) = ( 25705 × 25724) / 1
LCM(25705,25724) = 661235420 / 1
LCM(25705,25724) = 661235420

Least Common Multiple (LCM) of 25705 and 25724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25705 and 25724. First we will calculate the prime factors of 25705 and 25724.

Prime Factorization of 25705

Prime factors of 25705 are 5, 53, 97. Prime factorization of 25705 in exponential form is:

25705 = 51 × 531 × 971

Prime Factorization of 25724

Prime factors of 25724 are 2, 59, 109. Prime factorization of 25724 in exponential form is:

25724 = 22 × 591 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 25705 and 25724.

LCM(25705,25724) = 51 × 531 × 971 × 22 × 591 × 1091
LCM(25705,25724) = 661235420