What is the Least Common Multiple of 10458 and 10466?

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 10466 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 10466, than apply into the LCM equation.

GCF(10458,10466) = 2
LCM(10458,10466) = ( 10458 × 10466) / 2
LCM(10458,10466) = 109453428 / 2
LCM(10458,10466) = 54726714

Least Common Multiple (LCM) of 10458 and 10466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10458 and 10466. First we will calculate the prime factors of 10458 and 10466.

Prime Factorization of 10458

Prime Factorization of 10466

Now multiplying the highest exponent prime factors to calculate the LCM of 10458 and 10466.

LCM(10458,10466) = 2¹ × 3² × 7¹ × 83¹ × 5233¹
LCM(10458,10466) = 54726714