What is the Least Common Multiple of 10458 and 10465?

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 10458 and 10465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10458 and 10465, than apply into the LCM equation.

GCF(10458,10465) = 7
LCM(10458,10465) = ( 10458 × 10465) / 7
LCM(10458,10465) = 109442970 / 7
LCM(10458,10465) = 15634710

Least Common Multiple (LCM) of 10458 and 10465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10458 and 10465. First we will calculate the prime factors of 10458 and 10465.

Prime Factorization of 10458

Prime Factorization of 10465

Now multiplying the highest exponent prime factors to calculate the LCM of 10458 and 10465.

LCM(10458,10465) = 2¹ × 3² × 7¹ × 83¹ × 5¹ × 13¹ × 23¹
LCM(10458,10465) = 15634710