What is the Least Common Multiple of 14800 and 14804?

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 14800 and 14804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14800 and 14804, than apply into the LCM equation.

GCF(14800,14804) = 4
LCM(14800,14804) = ( 14800 × 14804) / 4
LCM(14800,14804) = 219099200 / 4
LCM(14800,14804) = 54774800

Least Common Multiple (LCM) of 14800 and 14804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14800 and 14804. First we will calculate the prime factors of 14800 and 14804.

Prime Factorization of 14800

Prime Factorization of 14804

Now multiplying the highest exponent prime factors to calculate the LCM of 14800 and 14804.

LCM(14800,14804) = 2⁴ × 5² × 37¹ × 3701¹
LCM(14800,14804) = 54774800