What is the Least Common Multiple of 25914 and 25920?

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 25914 and 25920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25914 and 25920, than apply into the LCM equation.

GCF(25914,25920) = 6
LCM(25914,25920) = ( 25914 × 25920) / 6
LCM(25914,25920) = 671690880 / 6
LCM(25914,25920) = 111948480

Least Common Multiple (LCM) of 25914 and 25920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25914 and 25920. First we will calculate the prime factors of 25914 and 25920.

Prime Factorization of 25914

Prime Factorization of 25920

Now multiplying the highest exponent prime factors to calculate the LCM of 25914 and 25920.

LCM(25914,25920) = 2⁶ × 3⁴ × 7¹ × 617¹ × 5¹
LCM(25914,25920) = 111948480