What is the Least Common Multiple of 16492 and 16504?

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 16492 and 16504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16492 and 16504, than apply into the LCM equation.

GCF(16492,16504) = 4
LCM(16492,16504) = ( 16492 × 16504) / 4
LCM(16492,16504) = 272183968 / 4
LCM(16492,16504) = 68045992

Least Common Multiple (LCM) of 16492 and 16504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16492 and 16504. First we will calculate the prime factors of 16492 and 16504.

Prime Factorization of 16492

Prime Factorization of 16504

Now multiplying the highest exponent prime factors to calculate the LCM of 16492 and 16504.

LCM(16492,16504) = 2³ × 7¹ × 19¹ × 31¹ × 2063¹
LCM(16492,16504) = 68045992