GCF and LCM Calculator Logo

What is the Least Common Multiple of 25291 and 25311?

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 25291 and 25311 is 640140501.

LCM(25291,25311) = 640140501

LCM Calculator and
and

Least Common Multiple of 25291 and 25311 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25291 and 25311, than apply into the LCM equation.

GCF(25291,25311) = 1
LCM(25291,25311) = ( 25291 × 25311) / 1
LCM(25291,25311) = 640140501 / 1
LCM(25291,25311) = 640140501

Least Common Multiple (LCM) of 25291 and 25311 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25291 and 25311. First we will calculate the prime factors of 25291 and 25311.

Prime Factorization of 25291

Prime factors of 25291 are 7, 3613. Prime factorization of 25291 in exponential form is:

25291 = 71 × 36131

Prime Factorization of 25311

Prime factors of 25311 are 3, 11, 13, 59. Prime factorization of 25311 in exponential form is:

25311 = 31 × 111 × 131 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 25291 and 25311.

LCM(25291,25311) = 71 × 36131 × 31 × 111 × 131 × 591
LCM(25291,25311) = 640140501