What is the Least Common Multiple of 25914 and 25929?

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 25929 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 25929, than apply into the LCM equation.

GCF(25914,25929) = 3
LCM(25914,25929) = ( 25914 × 25929) / 3
LCM(25914,25929) = 671924106 / 3
LCM(25914,25929) = 223974702

Least Common Multiple (LCM) of 25914 and 25929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25914 and 25929. First we will calculate the prime factors of 25914 and 25929.

Prime Factorization of 25914

Prime Factorization of 25929

Now multiplying the highest exponent prime factors to calculate the LCM of 25914 and 25929.

LCM(25914,25929) = 2¹ × 3² × 7¹ × 617¹ × 43¹ × 67¹
LCM(25914,25929) = 223974702