What is the Least Common Multiple of 10800 and 10804?

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 10800 and 10804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10800 and 10804, than apply into the LCM equation.

GCF(10800,10804) = 4
LCM(10800,10804) = ( 10800 × 10804) / 4
LCM(10800,10804) = 116683200 / 4
LCM(10800,10804) = 29170800

Least Common Multiple (LCM) of 10800 and 10804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10800 and 10804. First we will calculate the prime factors of 10800 and 10804.

Prime Factorization of 10800

Prime Factorization of 10804

Now multiplying the highest exponent prime factors to calculate the LCM of 10800 and 10804.

LCM(10800,10804) = 2⁴ × 3³ × 5² × 37¹ × 73¹
LCM(10800,10804) = 29170800