What is the Least Common Multiple of 10804 and 10814?

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 10804 and 10814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10804 and 10814, than apply into the LCM equation.

GCF(10804,10814) = 2
LCM(10804,10814) = ( 10804 × 10814) / 2
LCM(10804,10814) = 116834456 / 2
LCM(10804,10814) = 58417228

Least Common Multiple (LCM) of 10804 and 10814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10804 and 10814. First we will calculate the prime factors of 10804 and 10814.

Prime Factorization of 10804

Prime Factorization of 10814

Now multiplying the highest exponent prime factors to calculate the LCM of 10804 and 10814.

LCM(10804,10814) = 2² × 37¹ × 73¹ × 5407¹
LCM(10804,10814) = 58417228