What is the Least Common Multiple of 19499 and 19504?

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 19499 and 19504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19499 and 19504, than apply into the LCM equation.

GCF(19499,19504) = 1
LCM(19499,19504) = ( 19499 × 19504) / 1
LCM(19499,19504) = 380308496 / 1
LCM(19499,19504) = 380308496

Least Common Multiple (LCM) of 19499 and 19504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19499 and 19504. First we will calculate the prime factors of 19499 and 19504.

Prime Factorization of 19499

Prime Factorization of 19504

Now multiplying the highest exponent prime factors to calculate the LCM of 19499 and 19504.

LCM(19499,19504) = 17¹ × 31¹ × 37¹ × 2⁴ × 23¹ × 53¹
LCM(19499,19504) = 380308496