What is the Least Common Multiple of 25300 and 25315?

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 25300 and 25315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25300 and 25315, than apply into the LCM equation.

GCF(25300,25315) = 5
LCM(25300,25315) = ( 25300 × 25315) / 5
LCM(25300,25315) = 640469500 / 5
LCM(25300,25315) = 128093900

Least Common Multiple (LCM) of 25300 and 25315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25300 and 25315. First we will calculate the prime factors of 25300 and 25315.

Prime Factorization of 25300

Prime Factorization of 25315

Now multiplying the highest exponent prime factors to calculate the LCM of 25300 and 25315.

LCM(25300,25315) = 2² × 5² × 11¹ × 23¹ × 61¹ × 83¹
LCM(25300,25315) = 128093900