GCF and LCM Calculator Logo

What is the Least Common Multiple of 25292 and 25305?

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 25292 and 25305 is 640014060.

LCM(25292,25305) = 640014060

LCM Calculator and
and

Least Common Multiple of 25292 and 25305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25292 and 25305, than apply into the LCM equation.

GCF(25292,25305) = 1
LCM(25292,25305) = ( 25292 × 25305) / 1
LCM(25292,25305) = 640014060 / 1
LCM(25292,25305) = 640014060

Least Common Multiple (LCM) of 25292 and 25305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25292 and 25305. First we will calculate the prime factors of 25292 and 25305.

Prime Factorization of 25292

Prime factors of 25292 are 2, 6323. Prime factorization of 25292 in exponential form is:

25292 = 22 × 63231

Prime Factorization of 25305

Prime factors of 25305 are 3, 5, 7, 241. Prime factorization of 25305 in exponential form is:

25305 = 31 × 51 × 71 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 25292 and 25305.

LCM(25292,25305) = 22 × 63231 × 31 × 51 × 71 × 2411
LCM(25292,25305) = 640014060