What is the Least Common Multiple of 10458 and 10468?

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 10468 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 10468, than apply into the LCM equation.

GCF(10458,10468) = 2
LCM(10458,10468) = ( 10458 × 10468) / 2
LCM(10458,10468) = 109474344 / 2
LCM(10458,10468) = 54737172

Least Common Multiple (LCM) of 10458 and 10468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10458 and 10468. First we will calculate the prime factors of 10458 and 10468.

Prime Factorization of 10458

Prime Factorization of 10468

Now multiplying the highest exponent prime factors to calculate the LCM of 10458 and 10468.

LCM(10458,10468) = 2² × 3² × 7¹ × 83¹ × 2617¹
LCM(10458,10468) = 54737172