What is the Least Common Multiple of 19804 and 19824?

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 19804 and 19824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19804 and 19824, than apply into the LCM equation.

GCF(19804,19824) = 4
LCM(19804,19824) = ( 19804 × 19824) / 4
LCM(19804,19824) = 392594496 / 4
LCM(19804,19824) = 98148624

Least Common Multiple (LCM) of 19804 and 19824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19804 and 19824. First we will calculate the prime factors of 19804 and 19824.

Prime Factorization of 19804

Prime Factorization of 19824

Now multiplying the highest exponent prime factors to calculate the LCM of 19804 and 19824.

LCM(19804,19824) = 2⁴ × 4951¹ × 3¹ × 7¹ × 59¹
LCM(19804,19824) = 98148624