What is the Least Common Multiple of 25278 and 25292?

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 25278 and 25292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25278 and 25292, than apply into the LCM equation.

GCF(25278,25292) = 2
LCM(25278,25292) = ( 25278 × 25292) / 2
LCM(25278,25292) = 639331176 / 2
LCM(25278,25292) = 319665588

Least Common Multiple (LCM) of 25278 and 25292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25278 and 25292. First we will calculate the prime factors of 25278 and 25292.

Prime Factorization of 25278

Prime Factorization of 25292

Now multiplying the highest exponent prime factors to calculate the LCM of 25278 and 25292.

LCM(25278,25292) = 2² × 3¹ × 11¹ × 383¹ × 6323¹
LCM(25278,25292) = 319665588