What is the Least Common Multiple of 10494 and 10506?

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 10494 and 10506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10494 and 10506, than apply into the LCM equation.

GCF(10494,10506) = 6
LCM(10494,10506) = ( 10494 × 10506) / 6
LCM(10494,10506) = 110249964 / 6
LCM(10494,10506) = 18374994

Least Common Multiple (LCM) of 10494 and 10506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10494 and 10506. First we will calculate the prime factors of 10494 and 10506.

Prime Factorization of 10494

Prime Factorization of 10506

Now multiplying the highest exponent prime factors to calculate the LCM of 10494 and 10506.

LCM(10494,10506) = 2¹ × 3² × 11¹ × 53¹ × 17¹ × 103¹
LCM(10494,10506) = 18374994