What is the Least Common Multiple of 14804 and 14824?

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 14804 and 14824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14804 and 14824, than apply into the LCM equation.

GCF(14804,14824) = 4
LCM(14804,14824) = ( 14804 × 14824) / 4
LCM(14804,14824) = 219454496 / 4
LCM(14804,14824) = 54863624

Least Common Multiple (LCM) of 14804 and 14824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14804 and 14824. First we will calculate the prime factors of 14804 and 14824.

Prime Factorization of 14804

Prime Factorization of 14824

Now multiplying the highest exponent prime factors to calculate the LCM of 14804 and 14824.

LCM(14804,14824) = 2³ × 3701¹ × 17¹ × 109¹
LCM(14804,14824) = 54863624