What is the Least Common Multiple of 25270 and 25284?

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 25270 and 25284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25270 and 25284, than apply into the LCM equation.

GCF(25270,25284) = 14
LCM(25270,25284) = ( 25270 × 25284) / 14
LCM(25270,25284) = 638926680 / 14
LCM(25270,25284) = 45637620

Least Common Multiple (LCM) of 25270 and 25284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25270 and 25284. First we will calculate the prime factors of 25270 and 25284.

Prime Factorization of 25270

Prime Factorization of 25284

Now multiplying the highest exponent prime factors to calculate the LCM of 25270 and 25284.

LCM(25270,25284) = 2² × 5¹ × 7² × 19² × 3¹ × 43¹
LCM(25270,25284) = 45637620