What is the Least Common Multiple of 25320 and 25338?

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 25320 and 25338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25320 and 25338, than apply into the LCM equation.

GCF(25320,25338) = 6
LCM(25320,25338) = ( 25320 × 25338) / 6
LCM(25320,25338) = 641558160 / 6
LCM(25320,25338) = 106926360

Least Common Multiple (LCM) of 25320 and 25338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25320 and 25338. First we will calculate the prime factors of 25320 and 25338.

Prime Factorization of 25320

Prime Factorization of 25338

Now multiplying the highest exponent prime factors to calculate the LCM of 25320 and 25338.

LCM(25320,25338) = 2³ × 3¹ × 5¹ × 211¹ × 41¹ × 103¹
LCM(25320,25338) = 106926360