What is the Least Common Multiple of 25293 and 25297?

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 of 25293 and 25297 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25293 and 25297, than apply into the LCM equation.

GCF(25293,25297) = 1
LCM(25293,25297) = ( 25293 × 25297) / 1
LCM(25293,25297) = 639837021 / 1
LCM(25293,25297) = 639837021

Least Common Multiple (LCM) of 25293 and 25297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25293 and 25297. First we will calculate the prime factors of 25293 and 25297.

Prime Factorization of 25293

Prime Factorization of 25297

Now multiplying the highest exponent prime factors to calculate the LCM of 25293 and 25297.

LCM(25293,25297) = 3¹ × 8431¹ × 41¹ × 617¹
LCM(25293,25297) = 639837021