What is the Least Common Multiple of 25458 and 25470?

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 25458 and 25470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25458 and 25470, than apply into the LCM equation.

GCF(25458,25470) = 6
LCM(25458,25470) = ( 25458 × 25470) / 6
LCM(25458,25470) = 648415260 / 6
LCM(25458,25470) = 108069210

Least Common Multiple (LCM) of 25458 and 25470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25458 and 25470. First we will calculate the prime factors of 25458 and 25470.

Prime Factorization of 25458

Prime Factorization of 25470

Now multiplying the highest exponent prime factors to calculate the LCM of 25458 and 25470.

LCM(25458,25470) = 2¹ × 3² × 4243¹ × 5¹ × 283¹
LCM(25458,25470) = 108069210