What is the Least Common Multiple of 25289 and 25302?

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 25289 and 25302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25289 and 25302, than apply into the LCM equation.

GCF(25289,25302) = 1
LCM(25289,25302) = ( 25289 × 25302) / 1
LCM(25289,25302) = 639862278 / 1
LCM(25289,25302) = 639862278

Least Common Multiple (LCM) of 25289 and 25302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25289 and 25302. First we will calculate the prime factors of 25289 and 25302.

Prime Factorization of 25289

Prime Factorization of 25302

Now multiplying the highest exponent prime factors to calculate the LCM of 25289 and 25302.

LCM(25289,25302) = 11³ × 19¹ × 2¹ × 3¹ × 4217¹
LCM(25289,25302) = 639862278